diff --git a/tests/kafkatest/tests/streams/streams_upgrade_test.py b/tests/kafkatest/tests/streams/streams_upgrade_test.py
index d3fa1a381be..9c81d8f7ed3 100644
--- a/tests/kafkatest/tests/streams/streams_upgrade_test.py
+++ b/tests/kafkatest/tests/streams/streams_upgrade_test.py
@@ -28,7 +28,8 @@ from kafkatest.version import LATEST_0_10_0, LATEST_0_10_1, LATEST_0_10_2, LATES
     LATEST_2_0, LATEST_2_1, LATEST_2_2, LATEST_2_3, LATEST_2_4, LATEST_2_5, LATEST_2_6, LATEST_2_7, DEV_BRANCH, DEV_VERSION, KafkaVersion
 
 # broker 0.10.0 is not compatible with newer Kafka Streams versions
-broker_upgrade_versions = [str(LATEST_0_10_1), str(LATEST_0_10_2), str(LATEST_0_11_0), str(LATEST_1_0), str(LATEST_1_1), \
+# broker 0.10.1 and 0.10.2 do not support headers, as required by suppress() (since v2.2.1)
+broker_upgrade_versions = [str(LATEST_0_11_0), str(LATEST_1_0), str(LATEST_1_1), \
                            str(LATEST_2_0), str(LATEST_2_1), str(LATEST_2_2), str(LATEST_2_3), \
                            str(LATEST_2_4), str(LATEST_2_5), str(LATEST_2_6), str(LATEST_2_7), str(DEV_BRANCH)]