diff --git a/tools/integration_tests/run_e2e_tests.sh b/tools/integration_tests/run_e2e_tests.sh
index ed9e210540..8aa2529ab7 100755
--- a/tools/integration_tests/run_e2e_tests.sh
+++ b/tools/integration_tests/run_e2e_tests.sh
@@ -287,10 +287,17 @@ function run_e2e_tests_for_hns_bucket(){
    wait $non_parallel_tests_hns_group_pid
    non_parallel_tests_hns_group_exit_code=$?
 
+   # The concurrent_operations package, which experiences intermittent failures on presubmit tests, primarily due to parallel execution on the FLAT bucket, has been executed.
+   # Added it serially after all the tests are completed to avoid failures.
+   local log_file="/tmp/concurrent_operation_${hns_bucket_name_parallel_group}.log"
+   echo $log_file >> $TEST_LOGS_FILE
+   GODEBUG=asyncpreemptoff=1 go test ./tools/integration_tests/concurrent_operations $GO_TEST_SHORT_FLAG $PRESUBMIT_RUN_FLAG -p 1 --integrationTest -v --testbucket=$hns_bucket_name_non_parallel_group --testInstalledPackage=$RUN_E2E_TESTS_ON_PACKAGE -timeout $INTEGRATION_TEST_TIMEOUT > "$log_file" 2>&1
+   non_parallel_tests_hns_group_exit_code_2=$?
+
    hns_buckets=("$hns_bucket_name_parallel_group" "$hns_bucket_name_non_parallel_group")
    clean_up hns_buckets
 
-   if [ $parallel_tests_hns_group_exit_code != 0 ] || [ $non_parallel_tests_hns_group_exit_code!= 0 ];
+   if [ $parallel_tests_hns_group_exit_code != 0 ] || [ $non_parallel_tests_hns_group_exit_code != 0 ] || [ $non_parallel_tests_hns_group_exit_code_2 != 0 ];
    then
     return 1
    fi