diff --git a/mypy/cache.py b/mypy/cache.py
index 900815b9f7e7..5037262aa32a 100644
--- a/mypy/cache.py
+++ b/mypy/cache.py
@@ -236,6 +236,7 @@ def read(cls, data: Buffer, data_file: str) -> CacheMeta | None:
 # Misc classes.
 EXTRA_ATTRS: Final[Tag] = 150
 DT_SPEC: Final[Tag] = 151
+PLUGIN_FLAGS: Final[Tag] = 152
 
 END_TAG: Final[Tag] = 255
 
diff --git a/mypy/checker.py b/mypy/checker.py
index f3a93d1eeda1..52a43898f32e 100644
--- a/mypy/checker.py
+++ b/mypy/checker.py
@@ -122,6 +122,7 @@
     OverloadedFuncDef,
     OverloadPart,
     PassStmt,
+    PluginFlags,
     PromoteExpr,
     RaiseStmt,
     RefExpr,
@@ -2205,6 +2206,11 @@ def check_method_override(
                 defn.name != "__replace__"
                 or defn.info.metadata.get("dataclass_tag") is None
             )
+            and not (
+                defn.info
+                and (node := defn.info.get(defn.name))
+                and PluginFlags.should_skip_override_checks(node)
+            )
         )
         found_method_base_classes: list[TypeInfo] = []
         for base in defn.info.mro[1:]:
@@ -3547,6 +3553,10 @@ def check_compatibility_all_supers(self, lvalue: RefExpr, rvalue: Expression) ->
             and lvalue.kind in (MDEF, None)  # None for Vars defined via self
             and len(lvalue_node.info.bases) > 0
         ):
+            if not (
+                sym := lvalue_node.info.names.get(lvalue_node.name)
+            ) or PluginFlags.should_skip_override_checks(sym):
+                return
             for base in lvalue_node.info.mro[1:]:
                 tnode = base.names.get(lvalue_node.name)
                 if tnode is not None:
diff --git a/mypy/nodes.py b/mypy/nodes.py
index 539995ce9229..37d78b2f732f 100644
--- a/mypy/nodes.py
+++ b/mypy/nodes.py
@@ -28,6 +28,7 @@
     LIST_STR,
     LITERAL_COMPLEX,
     LITERAL_NONE,
+    PLUGIN_FLAGS,
     Buffer,
     Tag,
     read_bool,
@@ -4469,6 +4470,57 @@ def accept(self, visitor: NodeVisitor[T]) -> T:
         return visitor.visit_placeholder_node(self)
 
 
+class PluginFlags:
+    """Checking customization for plugin-generated nodes.
+
+    This class is part of the public API. It can be used with the
+    `mypy.plugins.common.add_*_to_class` family of functions.
+
+    Args:
+        skip_override_checks: Allow this node to be an incompatible override.
+            A node having this flag set to True will not be required to be
+            LSP-compatible with the superclasses of its enclosing class.
+            This is helpful when the plugin generates a precise signature,
+            overriding a fallback signature defined in the base class.
+            This flag does not affect checking overrides *of* this node in
+            further subclasses.
+    """
+
+    def __init__(self, *, skip_override_checks: bool = False) -> None:
+        self.skip_override_checks = skip_override_checks
+
+    @staticmethod
+    def should_skip_override_checks(node: SymbolTableNode) -> bool:
+        if node.plugin_flags is None:
+            return False
+        return node.plugin_flags.skip_override_checks
+
+    def serialize(self) -> JsonDict:
+        data: JsonDict = {".class": "PluginFlags"}
+        if self.skip_override_checks:
+            data["skip_override_checks"] = True
+        return data
+
+    @classmethod
+    def deserialize(cls, data: JsonDict) -> PluginFlags:
+        flags = PluginFlags()
+        if data.get("skip_override_checks"):
+            flags.skip_override_checks = True
+        return flags
+
+    def write(self, data: Buffer) -> None:
+        write_tag(data, PLUGIN_FLAGS)
+        write_bool(data, self.skip_override_checks)
+        write_tag(data, END_TAG)
+
+    @classmethod
+    def read(cls, data: Buffer) -> PluginFlags:
+        flags = PluginFlags()
+        flags.skip_override_checks = read_bool(data)
+        assert read_tag(data) == END_TAG
+        return flags
+
+
 class SymbolTableNode:
     """Description of a name binding in a symbol table.
 
@@ -4537,6 +4589,7 @@ class SymbolTableNode:
         "cross_ref",
         "implicit",
         "plugin_generated",
+        "plugin_flags",
         "no_serialize",
     )
 
@@ -4549,6 +4602,7 @@ def __init__(
         module_hidden: bool = False,
         *,
         plugin_generated: bool = False,
+        plugin_flags: PluginFlags | None = None,
         no_serialize: bool = False,
     ) -> None:
         self.kind = kind
@@ -4558,6 +4612,7 @@ def __init__(
         self.module_hidden = module_hidden
         self.cross_ref: str | None = None
         self.plugin_generated = plugin_generated
+        self.plugin_flags = plugin_flags
         self.no_serialize = no_serialize
 
     @property
@@ -4611,6 +4666,8 @@ def serialize(self, prefix: str, name: str) -> JsonDict:
             data["implicit"] = True
         if self.plugin_generated:
             data["plugin_generated"] = True
+        if self.plugin_flags:
+            data["plugin_flags"] = self.plugin_flags.serialize()
         if isinstance(self.node, MypyFile):
             data["cross_ref"] = self.node.fullname
         else:
@@ -4650,6 +4707,8 @@ def deserialize(cls, data: JsonDict) -> SymbolTableNode:
             stnode.implicit = data["implicit"]
         if "plugin_generated" in data:
             stnode.plugin_generated = data["plugin_generated"]
+        if "plugin_flags" in data:
+            stnode.plugin_flags = PluginFlags.deserialize(data["plugin_flags"])
         return stnode
 
     def write(self, data: Buffer, prefix: str, name: str) -> None:
@@ -4681,6 +4740,10 @@ def write(self, data: Buffer, prefix: str, name: str) -> None:
         if cross_ref is None:
             assert self.node is not None
             self.node.write(data)
+        if self.plugin_flags is None:
+            write_literal(data, None)
+        else:
+            self.plugin_flags.write(data)
         write_tag(data, END_TAG)
 
     @classmethod
@@ -4696,6 +4759,10 @@ def read(cls, data: Buffer) -> SymbolTableNode:
             sym.node = read_symbol(data)
         else:
             sym.cross_ref = cross_ref
+        if (tag := read_tag(data)) == PLUGIN_FLAGS:
+            sym.plugin_flags = PluginFlags.read(data)
+        else:
+            assert tag == LITERAL_NONE
         assert read_tag(data) == END_TAG
         return sym
 
diff --git a/mypy/plugins/common.py b/mypy/plugins/common.py
index ed2a91d102f4..3243d5e849cb 100644
--- a/mypy/plugins/common.py
+++ b/mypy/plugins/common.py
@@ -20,6 +20,7 @@
     Node,
     OverloadedFuncDef,
     PassStmt,
+    PluginFlags,
     RefExpr,
     SymbolTableNode,
     TypeInfo,
@@ -220,6 +221,7 @@ class MethodSpec(NamedTuple):
     return_type: Type
     self_type: Type | None = None
     tvar_defs: list[TypeVarType] | None = None
+    flags: PluginFlags | None = None
 
 
 def add_method_to_class(
@@ -233,6 +235,7 @@ def add_method_to_class(
     tvar_def: list[TypeVarType] | TypeVarType | None = None,
     is_classmethod: bool = False,
     is_staticmethod: bool = False,
+    flags: PluginFlags | None = None,
 ) -> FuncDef | Decorator:
     """Adds a new method to a class definition."""
     _prepare_class_namespace(cls, name)
@@ -244,7 +247,13 @@ def add_method_to_class(
         api,
         cls.info,
         name,
-        MethodSpec(args=args, return_type=return_type, self_type=self_type, tvar_defs=tvar_def),
+        MethodSpec(
+            args=args,
+            return_type=return_type,
+            self_type=self_type,
+            tvar_defs=tvar_def,
+            flags=flags,
+        ),
         is_classmethod=is_classmethod,
         is_staticmethod=is_staticmethod,
     )
@@ -260,6 +269,7 @@ def add_overloaded_method_to_class(
     items: list[MethodSpec],
     is_classmethod: bool = False,
     is_staticmethod: bool = False,
+    flags: PluginFlags | None = None,
 ) -> OverloadedFuncDef:
     """Adds a new overloaded method to a class definition."""
     assert len(items) >= 2, "Overloads must contain at least two cases"
@@ -294,8 +304,7 @@ def add_overloaded_method_to_class(
     overload_def.info = cls.info
     overload_def.is_class = is_classmethod
     overload_def.is_static = is_staticmethod
-    sym = SymbolTableNode(MDEF, overload_def)
-    sym.plugin_generated = True
+    sym = SymbolTableNode(MDEF, overload_def, plugin_generated=True, plugin_flags=flags)
 
     cls.info.names[name] = sym
     cls.info.defn.defs.body.append(overload_def)
@@ -330,7 +339,7 @@ def _add_method_by_spec(
     is_classmethod: bool,
     is_staticmethod: bool,
 ) -> tuple[FuncDef | Decorator, SymbolTableNode]:
-    args, return_type, self_type, tvar_defs = spec
+    args, return_type, self_type, tvar_defs, flags = spec
 
     assert not (
         is_classmethod is True and is_staticmethod is True
@@ -383,8 +392,7 @@ def _add_method_by_spec(
         sym.plugin_generated = True
         return dec, sym
 
-    sym = SymbolTableNode(MDEF, func)
-    sym.plugin_generated = True
+    sym = SymbolTableNode(MDEF, func, plugin_generated=True, plugin_flags=flags)
     return func, sym
 
 
@@ -399,6 +407,7 @@ def add_attribute_to_class(
     fullname: str | None = None,
     is_classvar: bool = False,
     overwrite_existing: bool = False,
+    flags: PluginFlags | None = None,
 ) -> Var:
     """
     Adds a new attribute to a class definition.
@@ -428,7 +437,7 @@ def add_attribute_to_class(
         node._fullname = info.fullname + "." + name
 
     info.names[name] = SymbolTableNode(
-        MDEF, node, plugin_generated=True, no_serialize=no_serialize
+        MDEF, node, plugin_generated=True, no_serialize=no_serialize, plugin_flags=flags
     )
     return node
 
diff --git a/test-data/unit/check-custom-plugin.test b/test-data/unit/check-custom-plugin.test
index 0c157510cb34..a7fcf7f86312 100644
--- a/test-data/unit/check-custom-plugin.test
+++ b/test-data/unit/check-custom-plugin.test
@@ -1087,6 +1087,59 @@ plugins=<ROOT>/test-data/unit/plugins/add_method.py
 enable_error_code = explicit-override
 [typing fixtures/typing-override.pyi]
 
+[case testAddMethodPluginExplicitOverrideIgnoreCompat]
+# flags: --python-version 3.12 --config-file tmp/mypy.ini --debug-serialize
+from typing import TypeVar
+
+T = TypeVar('T', bound=type)
+def inject_foo(t: T) -> T:
+    return t
+
+class BaseWithoutFoo:
+    pass
+
+@inject_foo
+class Child1(BaseWithoutFoo): ...
+
+class BaseWithSameFoo:
+    attr: None
+    def meth_ok(self) -> None: ...
+    def meth_bad(self) -> None: ...
+
+@inject_foo
+class Child2(BaseWithSameFoo): ...
+
+class BaseWithOtherFoo:
+    attr: int
+    def meth_ok(self) -> int: ...
+    def meth_bad(self) -> int: ...
+
+# `attr` is not reported because add_attribute_to_class does not generate a statement (yet).
+@inject_foo
+class Child3(BaseWithOtherFoo): ...  # E: Return type "None" of "meth_bad" incompatible with return type "int" in supertype "BaseWithOtherFoo"
+
+@inject_foo
+class ImmediatelyOverridden:
+    attr: int
+    def meth_ok(self) -> int: ...
+    def meth_bad(self) -> int: ...
+
+@inject_foo
+class Original:
+    ...
+class FurtherOverridden(Original):
+    attr: int  # E: Incompatible types in assignment (expression has type "int", base class "Original" defined the type as "None")
+    def meth_ok(self) -> int: ...  # E: Return type "int" of "meth_ok" incompatible with return type "None" in supertype "Original" \
+                                   # E: Method "meth_ok" is not using @override but is overriding a method in class "__main__.Original"
+    def meth_bad(self) -> int: ...  # E: Return type "int" of "meth_bad" incompatible with return type "None" in supertype "Original" \
+                                    # E: Method "meth_bad" is not using @override but is overriding a method in class "__main__.Original"
+
+[file mypy.ini]
+\[mypy]
+plugins=<ROOT>/test-data/unit/plugins/add_method_ignore_compat.py
+enable_error_code = explicit-override
+[typing fixtures/typing-override.pyi]
+
 [case testCustomErrorCodePlugin]
 # flags: --config-file tmp/mypy.ini  --show-error-codes
 def main() -> int:
diff --git a/test-data/unit/plugins/add_method_ignore_compat.py b/test-data/unit/plugins/add_method_ignore_compat.py
new file mode 100644
index 000000000000..db94febb3dbc
--- /dev/null
+++ b/test-data/unit/plugins/add_method_ignore_compat.py
@@ -0,0 +1,46 @@
+from __future__ import annotations
+
+from typing import Callable
+
+from mypy.nodes import PluginFlags
+from mypy.plugin import ClassDefContext, Plugin
+from mypy.plugins.common import add_attribute_to_class, add_method_to_class
+from mypy.types import NoneType
+
+
+class AddOverrideMethodPlugin(Plugin):
+    def get_class_decorator_hook_2(self, fullname: str) -> Callable[[ClassDefContext], bool] | None:
+        if fullname == "__main__.inject_foo":
+            return add_extra_methods_hook
+        return None
+
+
+def add_extra_methods_hook(ctx: ClassDefContext) -> bool:
+    add_method_to_class(
+        ctx.api,
+        ctx.cls,
+        "meth_ok",
+        [],
+        NoneType(),
+        flags=PluginFlags(skip_override_checks=True)
+    )
+    add_method_to_class(
+        ctx.api,
+        ctx.cls,
+        "meth_bad",
+        [],
+        NoneType(),
+        flags=PluginFlags(skip_override_checks=False)
+    )
+    add_attribute_to_class(
+        ctx.api,
+        ctx.cls,
+        "attr",
+        NoneType(),
+        flags=PluginFlags(skip_override_checks=True)
+    )
+    return True
+
+
+def plugin(version: str) -> type[AddOverrideMethodPlugin]:
+    return AddOverrideMethodPlugin