diff --git a/mypy/checker.py b/mypy/checker.py
index 0ac8f6904973..9d41743578eb 100644
--- a/mypy/checker.py
+++ b/mypy/checker.py
@@ -992,8 +992,9 @@ def get_generator_return_type(self, return_type: Type, is_coroutine: bool) -> Ty
             # AwaitableGenerator, Generator: tr is args[2].
             return return_type.args[2]
         else:
-            # Supertype of Generator (Iterator, Iterable, object): tr is any.
-            return AnyType(TypeOfAny.special_form)
+            # We have a supertype of Generator (Iterator, Iterable, object)
+            # Treat `Iterator[X]` as a shorthand for `Generator[X, Any, None]`.
+            return NoneType()
 
     def visit_func_def(self, defn: FuncDef) -> None:
         if not self.recurse_into_functions:
diff --git a/mypy/checkexpr.py b/mypy/checkexpr.py
index 626584bc3a20..1f25e48419e2 100644
--- a/mypy/checkexpr.py
+++ b/mypy/checkexpr.py
@@ -5943,17 +5943,7 @@ def visit_yield_from_expr(self, e: YieldFromExpr, allow_none_return: bool = Fals
 
         # Determine the type of the entire yield from expression.
         iter_type = get_proper_type(iter_type)
-        if isinstance(iter_type, Instance) and iter_type.type.fullname == "typing.Generator":
-            expr_type = self.chk.get_generator_return_type(iter_type, False)
-        else:
-            # Non-Generators don't return anything from `yield from` expressions.
-            # However special-case Any (which might be produced by an error).
-            actual_item_type = get_proper_type(actual_item_type)
-            if isinstance(actual_item_type, AnyType):
-                expr_type = AnyType(TypeOfAny.from_another_any, source_any=actual_item_type)
-            else:
-                # Treat `Iterator[X]` as a shorthand for `Generator[X, None, Any]`.
-                expr_type = NoneType()
+        expr_type = self.chk.get_generator_return_type(iter_type, is_coroutine=False)
 
         if not allow_none_return and isinstance(get_proper_type(expr_type), NoneType):
             self.chk.msg.does_not_return_value(None, e)