diff --git a/scripts/typecheck_tests.py b/scripts/typecheck_tests.py
index bf71f3561..1b215d3ed 100644
--- a/scripts/typecheck_tests.py
+++ b/scripts/typecheck_tests.py
@@ -157,6 +157,8 @@
         "Invalid type alias: expression is not a valid type",
         '"object" not callable',
         'Cannot assign multiple types to name "composed_perm" without an explicit "Type[...]" annotation',
+        '"<typing special form>" not callable',
+        "<nothing> not callable",
     ],
     "test_relations.py": [
         'Invalid index type "int" for "Union[str, _StrPromise, List[Any], Dict[str, Any]]"; expected type "str"',
@@ -237,6 +239,7 @@
         "rest_framework.decorators",
         'Argument 1 to "include" has incompatible type "Tuple[List[object], str]"',
         'Incompatible types in assignment (expression has type "Type[FakeResolverMatch]", variable has type "Optional[ResolverMatch]"',  # noqa: E501
+        '"None" not callable',
     ],
     "test_viewsets.py": [
         '(expression has type "None", variable has type "Request")',
diff --git a/setup.py b/setup.py
index 13bec7e45..5ecafe7e8 100644
--- a/setup.py
+++ b/setup.py
@@ -28,7 +28,7 @@ def find_stub_files(name):
 ]
 
 extras_require = {
-    "compatible-mypy": ["mypy>=0.991,<0.1000"],
+    "compatible-mypy": ["mypy>=1.0,<1.1"],
     "coreapi": ["coreapi>=2.0.0"],
     "markdown": ["types-Markdown>=0.1.5"],
 }