diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 9dc8b219..4f44f5b2 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -21,7 +21,7 @@ jobs:
       fail-fast: false
       matrix:
         os: ['ubuntu-latest', 'windows-2022', 'macos-13']
-        python: ['3.8', '3.9', '3.10', '3.11', '3.12', '3.13.0-rc.1', 'pypy3.9-v7.3.16', 'pypy3.10-v7.3.17']
+        python: ['3.8', '3.9', '3.10', '3.11', '3.12', '3.13.0-rc.2', 'pypy3.9-v7.3.16', 'pypy3.10-v7.3.17']
 
     name: "Python ${{ matrix.python }} / ${{ matrix.os }}"
     runs-on: ${{ matrix.os }}
@@ -49,7 +49,7 @@ jobs:
         python -m pip install pytest pytest-github-actions-annotate-failures typing_extensions
 
     - name: Install NumPy
-      if: ${{ !startsWith(matrix.python, 'pypy') && !contains(matrix.python, 'rc.1') }}
+      if: ${{ !startsWith(matrix.python, 'pypy') && !contains(matrix.python, 'rc.2') }}
       run: |
         python -m pip install numpy scipy
 
diff --git a/src/common.cpp b/src/common.cpp
index d6dc6264..b3d4d02d 100644
--- a/src/common.cpp
+++ b/src/common.cpp
@@ -184,7 +184,7 @@ PyObject *module_new_submodule(PyObject *base, const char *name,
     if (!tmp_str)
         goto fail;
 
-#if PY_VERSION_HEX < 0x030D0000
+#if PY_VERSION_HEX < 0x030D00A0
     res = borrow(PyImport_AddModule(tmp_str));
 #else
     res = steal(PyImport_AddModuleRef(tmp_str));