diff --git a/mypy/checker.py b/mypy/checker.py
index dbc997ba33c6..367fa2c01b71 100644
--- a/mypy/checker.py
+++ b/mypy/checker.py
@@ -2148,7 +2148,7 @@ def check_method_override_for_base_with_name(
                 pass
             elif isinstance(original_type, FunctionLike) and isinstance(typ, FunctionLike):
                 # Check that the types are compatible.
-                self.check_override(
+                ok = self.check_override(
                     typ,
                     original_type,
                     defn.name,
@@ -2158,6 +2158,21 @@ def check_method_override_for_base_with_name(
                     override_class_or_static,
                     context,
                 )
+                if (
+                    ok
+                    and original_node
+                    and codes.MUTABLE_OVERRIDE in self.options.enabled_error_codes
+                    and self.is_writable_attribute(original_node)
+                    and not is_subtype(original_type, typ, ignore_pos_arg_names=True)
+                ):
+                    base_str, override_str = format_type_distinctly(
+                        original_type, typ, options=self.options
+                    )
+                    msg = message_registry.COVARIANT_OVERRIDE_OF_MUTABLE_ATTRIBUTE.with_additional_msg(
+                        f' (base class "{base.name}" defined the type as {base_str},'
+                        f" override has type {override_str})"
+                    )
+                    self.fail(msg, context)
             elif is_equivalent(original_type, typ):
                 # Assume invariance for a non-callable attribute here. Note
                 # that this doesn't affect read-only properties which can have
@@ -2247,7 +2262,7 @@ def check_override(
         original_class_or_static: bool,
         override_class_or_static: bool,
         node: Context,
-    ) -> None:
+    ) -> bool:
         """Check a method override with given signatures.
 
         Arguments:
@@ -2397,6 +2412,7 @@ def erase_override(t: Type) -> Type:
                     node,
                     code=codes.OVERRIDE,
                 )
+        return not fail
 
     def check__exit__return_type(self, defn: FuncItem) -> None:
         """Generate error if the return type of __exit__ is problematic.
diff --git a/test-data/unit/check-classes.test b/test-data/unit/check-classes.test
index 82208d27df41..a6ae963d6c23 100644
--- a/test-data/unit/check-classes.test
+++ b/test-data/unit/check-classes.test
@@ -710,6 +710,72 @@ class B(A):
     @dec
     def f(self) -> Y: pass
 
+[case testOverrideCallableAttributeWithMethod]
+from typing import Callable
+
+class A:
+    f1: Callable[[str], None]
+    f2: Callable[[str], None]
+    f3: Callable[[str], None]
+
+class B(A):
+    def f1(self, x: object) -> None:
+        pass
+
+    @classmethod
+    def f2(cls, x: object) -> None:
+        pass
+
+    @staticmethod
+    def f3(x: object) -> None:
+        pass
+[builtins fixtures/classmethod.pyi]
+
+[case testOverrideCallableAttributeWithSettableProperty]
+from typing import Callable
+
+class A:
+    f: Callable[[str], None]
+
+class B(A):
+    @property
+    def f(self) -> Callable[[object], None]: pass
+    @func.setter
+    def f(self, x: object) -> None: pass
+[builtins fixtures/property.pyi]
+
+[case testOverrideCallableAttributeWithMethodMutableOverride]
+# flags: --enable-error-code=mutable-override
+from typing import Callable
+
+class A:
+    f1: Callable[[str], None]
+    f2: Callable[[str], None]
+    f3: Callable[[str], None]
+
+class B(A):
+    def f1(self, x: object) -> None: pass   # E: Covariant override of a mutable attribute (base class "A" defined the type as "Callable[[str], None]", override has type "Callable[[object], None]")
+
+    @classmethod
+    def f2(cls, x: object) -> None: pass    # E: Covariant override of a mutable attribute (base class "A" defined the type as "Callable[[str], None]", override has type "Callable[[object], None]")
+
+    @staticmethod
+    def f3(x: object) -> None: pass         # E: Covariant override of a mutable attribute (base class "A" defined the type as "Callable[[str], None]", override has type "Callable[[object], None]")
+[builtins fixtures/classmethod.pyi]
+
+[case testOverrideCallableAttributeWithSettablePropertyMutableOverride]
+# flags: --enable-error-code=mutable-override
+from typing import Callable
+
+class A:
+    f: Callable[[str], None]
+
+class B(A):
+    @property  # E: Covariant override of a mutable attribute (base class "A" defined the type as "Callable[[str], None]", override has type "Callable[[object], None]")
+    def f(self) -> Callable[[object], None]: pass
+    @func.setter
+    def f(self, x: object) -> None: pass
+[builtins fixtures/property.pyi]
 
 -- Constructors
 -- ------------