diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index e98d52f8..ead38191 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -49,16 +49,24 @@ jobs:
       - name: Prepare tox
         run: |
           V=${{ matrix.python-version }}
+          DO_MYPY=1
 
           if [[ "$V" = pypy-* ]]; then
+            DO_MYPY=0
+
             V=pypy3
-            IS_PYPY=1
           else
+            if [[ "$V" == "3.7" || "$V" == "3.8" ]]; then
+              DO_MYPY=0
+              echo "skipping $V"
+            else
+              echo "not skipping $V"
+            fi
+
             V=py$(echo $V | tr -d .)
-            IS_PYPY=0
           fi
 
-          echo IS_PYPY=$IS_PYPY >>$GITHUB_ENV
+          echo DO_MYPY=$DO_MYPY >>$GITHUB_ENV
           echo TOX_PYTHON=$V >>$GITHUB_ENV
 
           python -Im pip install tox
@@ -68,7 +76,7 @@ jobs:
 
       - run: python -Im tox run -e ${{ env.TOX_PYTHON }}-tests
       - run: python -Im tox run -e ${{ env.TOX_PYTHON }}-mypy
-        if: env.IS_PYPY == '0' && matrix.python-version != '3.7'
+        if: env.DO_MYPY == '1'
 
       - name: Upload coverage data
         uses: actions/upload-artifact@v4
diff --git a/pyproject.toml b/pyproject.toml
index c7e5b8be..933bd9d0 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -31,10 +31,10 @@ dynamic = ["version", "readme"]
 
 [project.optional-dependencies]
 tests-mypy = [
-  'pytest-mypy-plugins; platform_python_implementation == "CPython" and python_version >= "3.8" and python_version < "3.13"',
+  'pytest-mypy-plugins; platform_python_implementation == "CPython" and python_version >= "3.9" and python_version < "3.13"',
   # Since the mypy error messages keep changing, we have to keep updating this
   # pin.
-  'mypy>=1.6,<1.10; platform_python_implementation == "CPython" and python_version >= "3.8"',
+  'mypy>=1.10.1; platform_python_implementation == "CPython" and python_version >= "3.9"',
 ]
 tests = [
   # For regression test to ensure cloudpickle compat doesn't break.
diff --git a/tests/test_mypy.yml b/tests/test_mypy.yml
index 0d075723..1a0a366e 100644
--- a/tests/test_mypy.yml
+++ b/tests/test_mypy.yml
@@ -589,7 +589,7 @@
         x: Optional[T]
         @classmethod
         def clsmeth(cls) -> None:
-           reveal_type(cls)  # N: Revealed type is "Type[main.A[T`1]]"
+           reveal_type(cls)  # N: Revealed type is "type[main.A[T`1]]"
 
 - case: testAttrsForwardReference
   main: |
@@ -645,7 +645,7 @@
         b: str = attr.ib()
         @classmethod
         def new(cls) -> A:
-           reveal_type(cls)  # N: Revealed type is "Type[main.A]"
+           reveal_type(cls)  # N: Revealed type is "type[main.A]"
            return cls(6, 'hello')
         @classmethod
         def bad(cls) -> A:
@@ -680,7 +680,7 @@
 
         @classmethod
         def foo(cls, x: Union[int, str]) -> Union[int, str]:
-            reveal_type(cls)            # N: Revealed type is "Type[main.A]"
+            reveal_type(cls)            # N: Revealed type is "type[main.A]"
             reveal_type(cls.other())    # N: Revealed type is "builtins.str"
             return x
 
@@ -1411,4 +1411,4 @@
 
     reveal_type(A)  # N: Revealed type is "def () -> main.A"
     if has(A):
-        reveal_type(A)  # N: Revealed type is "Type[attr.AttrsInstance]"
+        reveal_type(A)  # N: Revealed type is "type[attr.AttrsInstance]"