diff --git a/.github/workflows/test-core.yml b/.github/workflows/test-core.yml
index d9219ff0f2b..64d6701b24c 100644
--- a/.github/workflows/test-core.yml
+++ b/.github/workflows/test-core.yml
@@ -98,6 +98,11 @@ jobs:
           workspaces: core -> ../target
           save-if: ${{ matrix.features.key == 'all' }}
 
+       - name: Downgrade crates with MSRV conflict
+        # The --precise flag can only be used once per invocation.
+        run: |
+          cargo update -p time --precise 0.3.23
+
       - name: test
         uses: actions-rs/cargo@v1
         with: