diff --git a/gnu/packages/crates-io.scm b/gnu/packages/crates-io.scm
index c511567782..103b151ccc 100644
--- a/gnu/packages/crates-io.scm
+++ b/gnu/packages/crates-io.scm
@@ -28907,7 +28907,9 @@ (define-public rust-tokio-rustls-0.13
         (base32
          "1d2iy01v5psvm0ygcflzjna7zwgwk36w36bfr6mqf1vpsah65jqm"))))
     (arguments
-     `(#:cargo-inputs
+     `(;; These tests require network access.
+       #:cargo-test-flags '("--release" "--" "--skip=tls12" "--skip=modern")
+       #:cargo-inputs
        (("rust-bytes" ,rust-bytes-0.5)
         ("rust-futures-core" ,rust-futures-core-0.3)
         ("rust-rustls" ,rust-rustls-0.17)