diff --git a/.github/dependabot.yml b/.github/dependabot.yml
index 177b067..645594b 100644
--- a/.github/dependabot.yml
+++ b/.github/dependabot.yml
@@ -6,3 +6,10 @@ updates:
       interval: "monthly"
     cooldown:
       default-days: 7
+    groups:
+      # codeql-action/init and codeql-action/analyze are separate dependencies to
+      # Dependabot, but CodeQL rejects a run whose init and analyze versions
+      # differ. Group them so both move in the same PR.
+      codeql-action:
+        patterns:
+          - "github/codeql-action*"
diff --git a/.github/workflows/codeql.yml b/.github/workflows/codeql.yml
index 45b4a3c..da3a4be 100644
--- a/.github/workflows/codeql.yml
+++ b/.github/workflows/codeql.yml
@@ -38,7 +38,7 @@ jobs:
           persist-credentials: false
 
       - name: Initialize CodeQL
-        uses: github/codeql-action/init@8aad20d150bbac5944a9f9d289da16a4b0d87c1e # v4.36.2
+        uses: github/codeql-action/init@f205ea1c3313d32999d8d6a48b4f6530d4437b38 # v4.37.4
         with:
           languages: ${{ matrix.language }}
           build-mode: ${{ matrix.build-mode }}
@@ -57,6 +57,6 @@ jobs:
         run: pip install .
 
       - name: Perform CodeQL analysis
-        uses: github/codeql-action/analyze@8aad20d150bbac5944a9f9d289da16a4b0d87c1e # v4.36.2
+        uses: github/codeql-action/analyze@f205ea1c3313d32999d8d6a48b4f6530d4437b38 # v4.37.4
         with:
           category: /language:${{ matrix.language }}