diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index 1c7ac21bb3..e3df89b769 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -118,6 +118,19 @@ jobs:
           components: rustfmt
       - run: cargo +nightly fmt --all -- --check
 
+  check-cargo-doc:
+    name: Check `cargo doc` for warnings
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683
+      - uses: dtolnay/rust-toolchain@1482605bfc5719782e1267fd0c0cc350fe7646b8
+        with:
+          toolchain: stable
+      - name: Check `cargo doc`
+        env:
+          RUSTDOCFLAGS: "--deny warnings"
+        run: cargo doc --workspace --no-deps
+
   mkdocs:
     name: Check that MkDocs can build the docs
     runs-on: ubuntu-latest