diff --git a/ci/ci-tests-common.sh b/ci/ci-tests-common.sh
index d60c9d07df0..9631689fcdd 100755
--- a/ci/ci-tests-common.sh
+++ b/ci/ci-tests-common.sh
@@ -20,4 +20,7 @@ PIN_RELEASE_DEPS # pin the release dependencies in our main workspace
 # Starting with version 1.2.0, the `idna_adapter` crate has an MSRV of rustc 1.81.0.
 [ "$RUSTC_MINOR_VERSION" -lt 81 ] && cargo update -p idna_adapter --precise "1.1.0" --quiet
 
+# Starting with version 0.27.8, the `hyper-rustls` crate has an MSRV of rustc 1.85.0.
+[ "$RUSTC_MINOR_VERSION" -lt 85 ] && cargo update -p hyper-rustls --precise "0.27.7" --quiet
+
 export RUST_BACKTRACE=1