diff --git a/tests/integration_tests/test_priority.py b/tests/integration_tests/test_priority.py
index d6502a298e..c3de9cec0f 100644
--- a/tests/integration_tests/test_priority.py
+++ b/tests/integration_tests/test_priority.py
@@ -184,7 +184,10 @@ def test_native_tx_priority(ethermint: Ethermint):
     tx_indexes = [(int(r["height"]), r["index"]) for r in tx_results]
     print(tx_indexes)
     # the first sent tx are included later, because of lower priority
-    assert all(i1 > i2 for i1, i2 in zip(tx_indexes, tx_indexes[1:]))
+    # ensure desc within continuous block
+    assert all((
+        b1 < b2 or (b1 == b2 and i1 > i2)
+    ) for (b1, i1), (b2, i2) in zip(tx_indexes, tx_indexes[1:]))
 
 
 def get_max_priority_price(max_priority_price):