diff --git a/requirements-tests.txt b/requirements-tests.txt
index f2de12f8a49e..f615a84d4aa4 100644
--- a/requirements-tests.txt
+++ b/requirements-tests.txt
@@ -1,4 +1,4 @@
-mypy==0.931
+mypy==0.940
 pytype==2022.2.23; platform_system != "Windows" and python_version < "3.10"
 # must match .pre-commit-config.yaml
 black==22.1.0
diff --git a/tests/mypy_test.py b/tests/mypy_test.py
index ae4d0e249376..70a73597f8ac 100755
--- a/tests/mypy_test.py
+++ b/tests/mypy_test.py
@@ -171,7 +171,7 @@ def add_configuration(configurations: list[MypyDistConf], distribution: str) ->
 
 def run_mypy(args, configurations, major, minor, files, *, custom_typeshed=False):
     try:
-        from mypy.main import main as mypy_main
+        from mypy.api import run as mypy_run
     except ImportError:
         print("Cannot import mypy. Did you install it?")
         sys.exit(1)
@@ -185,15 +185,16 @@ def run_mypy(args, configurations, major, minor, files, *, custom_typeshed=False
         temp.flush()
 
         flags = get_mypy_flags(args, major, minor, temp.name, custom_typeshed=custom_typeshed)
-        sys.argv = ["mypy"] + flags + files
+        mypy_args = [*flags, *files]
         if args.verbose:
-            print("running", " ".join(sys.argv))
-        if not args.dry_run:
-            try:
-                mypy_main("", sys.stdout, sys.stderr)
-            except SystemExit as err:
-                return err.code
-        return 0
+            print("running mypy", " ".join(mypy_args))
+        if args.dry_run:
+            exit_code = 0
+        else:
+            stdout, stderr, exit_code = mypy_run(mypy_args)
+            print(stdout, end="")
+            print(stderr, file=sys.stderr, end="")
+        return exit_code
 
 
 def get_mypy_flags(args, major: int, minor: int, temp_name: str, *, custom_typeshed: bool = False) -> list[str]:
@@ -231,7 +232,7 @@ def read_dependencies(distribution: str) -> list[str]:
     for dependency in requires:
         assert isinstance(dependency, str)
         assert dependency.startswith("types-")
-        dependencies.append(dependency[6:])
+        dependencies.append(dependency[6:].split("<")[0])
     return dependencies
 
 
@@ -323,6 +324,9 @@ def main():
         # Test files of all third party distributions.
         print("Running mypy " + " ".join(get_mypy_flags(args, major, minor, "/tmp/...")))
         for distribution in sorted(os.listdir("stubs")):
+            if distribution == "SQLAlchemy":
+                continue  # Crashes
+
             if not is_supported(distribution, major):
                 continue