diff --git a/.travis.yml b/.travis.yml
index e68fc73..565c1f0 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -10,6 +10,15 @@ os:
  - linux
  - windows
 
+matrix:
+  # rand 0.4 actually needs Rust 1.22, which leads to build failures on Rust 1.14 on Windows.
+  # This is not a problem, because
+  #  - we insist on rust 1.14 only for Debian, and
+  #  - "rand" is only an optional dependency.
+  exclude:
+  - rust: 1.14.0
+    os: windows
+
 script:
   - cargo build --verbose --features=fuzztarget
   - cargo build --verbose --features=rand