diff --git a/mypy/checker.py b/mypy/checker.py
index f90fc4be41f4..96e41a5e1786 100644
--- a/mypy/checker.py
+++ b/mypy/checker.py
@@ -5968,7 +5968,7 @@ def _make_fake_typeinfo_and_full_name(
             errors.append((pretty_names_list, "would have incompatible method signatures"))
             return None
 
-        curr_module.names[full_name] = SymbolTableNode(GDEF, info)
+        curr_module.names[full_name] = SymbolTableNode(GDEF, info, False, module_hidden=True)
         return Instance(info, [], extra_attrs=instances[0].extra_attrs or instances[1].extra_attrs)
 
     def intersect_instance_callable(self, typ: Instance, callable_type: CallableType) -> Instance:
diff --git a/test-data/unit/check-modules.test b/test-data/unit/check-modules.test
index 8faacb1a95f8..fd81765f5624 100644
--- a/test-data/unit/check-modules.test
+++ b/test-data/unit/check-modules.test
@@ -593,6 +593,25 @@ x = 1
 [file m2.py]
 x = 1
 
+[case testStarImportDoesNotImportGeneratedIntersections]
+from m1 import *
+from m2 import *
+[file m1.py]
+from m3 import A, B
+
+a: A
+if isinstance(a, B): ...
+[file m2.py]
+from m3 import A, B
+
+a: A
+if isinstance(a, B): ...
+[file m3.py]
+class A: ...
+class B: ...
+class AB(A, B): ...
+[builtins fixtures/isinstance.pyi]
+
 [case testAssignToFuncDefViaImport]
 
 # Errors differ with the new analyzer. (Old analyzer gave error on the