diff --git a/.travis.yml b/.travis.yml
index f036981901a..50ba7b67e0b 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -35,6 +35,10 @@ matrix:
         - cargo test
         - cargo doc --no-deps
         - (cd src/doc && mdbook build --dest-dir ../../target/doc)
+        # Make sure building cargo works with minimum dependency versions.
+        # Use a custom fork of the registry index for now because the main one
+        # is missing "links" entries.
+        - CARGO_REGISTRY_INDEX=https://github.com/klausi/crates.io-index cargo build -Z minimal-versions
 
   exclude:
     - rust: stable