diff --git a/java-shared-dependencies/.github/workflows/downstream-native-image.yaml b/java-shared-dependencies/.github/workflows/downstream-native-image.yaml
index 0439456aabb0..1c06db693765 100644
--- a/java-shared-dependencies/.github/workflows/downstream-native-image.yaml
+++ b/java-shared-dependencies/.github/workflows/downstream-native-image.yaml
@@ -7,7 +7,7 @@ on:
 # Keeping this file separate as the dependencies check would use more
 # repositories than needed this downstream check for GraalVM native image
 # compilation.
-name: downstream
+name: downstream-native-image
 jobs:
   # GraalVM job ensures the compatibility of GraaVM version
   graalvm:
@@ -15,7 +15,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        graalvm: [22.1.0]
+        graalvm: [22.1.0, 22.0.0.2, 21.3.2]
         java: [11, 17]
         repo:
           # GAPIC library that doesn't use a real GCP project in integration tests
diff --git a/java-shared-dependencies/.kokoro/downstream-client-library-check.sh b/java-shared-dependencies/.kokoro/downstream-client-library-check.sh
index 49574cee47dd..5dd5a94c6edb 100755
--- a/java-shared-dependencies/.kokoro/downstream-client-library-check.sh
+++ b/java-shared-dependencies/.kokoro/downstream-client-library-check.sh
@@ -62,5 +62,9 @@ if [[ $CLIENT_LIBRARY == "bigtable" ]]; then
   popd
 fi
 
+# We don't want to fail the test due to enforcer rule, before running GraalVM
+# tests. Checking GraalVM buidl result is more important.
+export INTEGRATION_TEST_ARGS="-Denforcer.skip=true"
+
 # This reads the JOB_TYPE environmental variable ("test" or "graalvm")
 .kokoro/build.sh