diff --git a/.github/workflows/wheels-dependencies.sh b/.github/workflows/wheels-dependencies.sh
index 2eac4d3d71e..719017df883 100755
--- a/.github/workflows/wheels-dependencies.sh
+++ b/.github/workflows/wheels-dependencies.sh
@@ -68,18 +68,15 @@ function build_pkg_config {
 function build_zlib_ng {
     if [ -e zlib-stamp ]; then return; fi
     fetch_unpack https://github.com/zlib-ng/zlib-ng/archive/$ZLIB_NG_VERSION.tar.gz zlib-ng-$ZLIB_NG_VERSION.tar.gz
+    ORIGINAL_LDFLAGS=$LDFLAGS
+    if [ -n "$IS_MACOS" ]; then
+        LDFLAGS="-dynamiclib -install_name $BUILD_PREFIX/lib/libz.1.dylib"
+    fi
     (cd zlib-ng-$ZLIB_NG_VERSION \
         && ./configure --prefix=$BUILD_PREFIX --zlib-compat \
         && make -j4 \
         && make install)
-
-    if [ -n "$IS_MACOS" ]; then
-        # Ensure that on macOS, the library name is an absolute path, not an
-        # @rpath, so that delocate picks up the right library (and doesn't need
-        # DYLD_LIBRARY_PATH to be set). The default Makefile doesn't have an
-        # option to control the install_name.
-        install_name_tool -id $BUILD_PREFIX/lib/libz.1.dylib $BUILD_PREFIX/lib/libz.1.dylib
-    fi
+    LDFLAGS=$ORIGINAL_LDFLAGS
     touch zlib-stamp
 }