diff --git a/mypy/checkexpr.py b/mypy/checkexpr.py
index 43896171eadc..f6352ae9868c 100644
--- a/mypy/checkexpr.py
+++ b/mypy/checkexpr.py
@@ -5363,7 +5363,14 @@ def __init__(self, ignore_in_type_obj: bool) -> None:
         self.ignore_in_type_obj = ignore_in_type_obj
 
     def visit_any(self, t: AnyType) -> bool:
-        return t.type_of_any != TypeOfAny.special_form  # special forms are not real Any types
+        # Special forms are not real Any types (note that we don't need to recurse
+        # since AnyType constructor finds actual source).
+        if t.type_of_any == TypeOfAny.special_form:
+            return False
+        if t.type_of_any == TypeOfAny.from_another_any:
+            assert t.source_any is not None
+            return t.source_any.type_of_any != TypeOfAny.special_form
+        return True
 
     def visit_callable_type(self, t: CallableType) -> bool:
         if self.ignore_in_type_obj and t.is_type_obj():
diff --git a/mypy/test/testtypes.py b/mypy/test/testtypes.py
index 5f6943de3199..664360b0c951 100644
--- a/mypy/test/testtypes.py
+++ b/mypy/test/testtypes.py
@@ -6,6 +6,7 @@
 from unittest import TestCase, skipUnless
 
 import mypy.expandtype
+from mypy.checkexpr import has_any_type
 from mypy.erasetype import erase_type, remove_instance_last_known_values
 from mypy.expandtype import expand_type
 from mypy.indirection import TypeIndirectionVisitor
@@ -64,6 +65,11 @@ def setUp(self) -> None:
     def test_any(self) -> None:
         assert_equal(str(AnyType(TypeOfAny.special_form)), "Any")
 
+    def test_has_any_special(self) -> None:
+        a = AnyType(TypeOfAny.special_form)
+        assert not has_any_type(a)
+        assert not has_any_type(AnyType(TypeOfAny.from_another_any, source_any=a))
+
     def test_simple_unbound_type(self) -> None:
         u = UnboundType("Foo")
         assert_equal(str(u), "Foo?")
diff --git a/test-data/unit/check-flags.test b/test-data/unit/check-flags.test
index 6ec0849146c0..3c91bf3a8abc 100644
--- a/test-data/unit/check-flags.test
+++ b/test-data/unit/check-flags.test
@@ -2195,3 +2195,15 @@ cb(lambda x: a)  # OK
 
 fn = lambda x: a
 cb(fn)
+
+[case testDisallowAnyFromAnotherAny]
+# flags: --disallow-any-expr
+from typing import Tuple, TypeVar
+
+T = TypeVar("T")
+
+def f(x: T) -> Tuple[T, float]: ...
+
+def a() -> None:
+    _ = f(42)
+[builtins fixtures/tuple.pyi]