diff --git a/contrib/test.sh b/contrib/test.sh
index 0e403a3..379059e 100755
--- a/contrib/test.sh
+++ b/contrib/test.sh
@@ -2,6 +2,7 @@
 
 set -ex
 
+REPO_DIR=$(git rev-parse --show-toplevel)
 FEATURES="bitcoin-hashes global-context lowmemory rand recovery serde std alloc bitcoin-hashes-std rand-std"
 
 cargo --version
@@ -108,6 +109,12 @@ if [ "$DO_ASAN" = true ]; then
     CC='clang -fsanitize=memory -fno-omit-frame-pointer'                                                                        \
     RUSTFLAGS='-Zsanitizer=memory -Zsanitizer-memory-track-origins -Cforce-frame-pointers=yes -Cllvm-args=-msan-eager-checks=0' \
     cargo test --lib --all --features="$FEATURES" -Zbuild-std --target x86_64-unknown-linux-gnu
+
+    pushd "$REPO_DIR/no_std_test" > /dev/null || exit 1
+    # See https://github.com/rust-bitcoin/rust-secp256k1/pull/641#issuecomment-1671598914
+    cargo update -p cc --precise 1.0.79
+    popd > /dev/null || exit 1
+
     cargo run --release --manifest-path=./no_std_test/Cargo.toml | grep -q "Verified Successfully"
     cargo run --release --features=alloc --manifest-path=./no_std_test/Cargo.toml | grep -q "Verified alloc Successfully"
 fi