diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index b8edff6b0d..7b91a9d934 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -222,3 +222,32 @@ jobs:
       with:
         token: ${{ secrets.GITHUB_TOKEN }}
         args: --all --examples --tests --benches -- -D warnings
+
+  minimal-versions:
+    # Check for minimal-versions errors where a dependency is too
+    # underconstrained to build on the minimal supported version of all
+    # dependencies in the dependency graph.
+    name: minimal-versions
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v2
+      - uses: actions-rs/toolchain@v1
+        with:
+          toolchain: nightly
+          profile: minimal
+          override: true
+      - name: Install cargo-hack
+        run: |
+          curl -LsSf https://github.com/taiki-e/cargo-hack/releases/latest/download/cargo-hack-x86_64-unknown-linux-gnu.tar.gz | tar xzf - -C ~/.cargo/bin
+      - name: "check --all-features -Z minimal-versions"
+        run: |
+          # Remove dev-dependencies from Cargo.toml to prevent the next `cargo update`
+          # from determining minimal versions based on dev-dependencies.
+          cargo hack --remove-dev-deps --workspace
+          # Update Cargo.lock to minimal version dependencies.
+          cargo update -Z minimal-versions
+          cargo hack check \
+            --package tracing \
+            --package tracing-core \
+            --package tracing-subscriber \
+            --all-features --ignore-private
diff --git a/tracing-core/Cargo.toml b/tracing-core/Cargo.toml
index aa8006068b..c05cf3f8bf 100644
--- a/tracing-core/Cargo.toml
+++ b/tracing-core/Cargo.toml
@@ -34,7 +34,7 @@ std = ["lazy_static"]
 maintenance = { status = "actively-developed" }
 
 [dependencies]
-lazy_static = { version = "1", optional = true }
+lazy_static = { version = "1.0.2", optional = true }
 
 [target.'cfg(tracing_unstable)'.dependencies]
 valuable = { version = "0.1.0", optional = true, default_features = false }