diff --git a/ptf/tests/linerate/int_single_flow.py b/ptf/tests/linerate/int_single_flow.py
index 769f85ed1..2833faaa1 100644
--- a/ptf/tests/linerate/int_single_flow.py
+++ b/ptf/tests/linerate/int_single_flow.py
@@ -86,13 +86,14 @@ def runTest(self):
         - Packet loss: No packets were dropped during the test
         - Reports: 1 INT report per second per flow was generated
         """
-        self.failIf(
-            sent_packets != recv_packets,
+        self.assertEqual(
+            sent_packets,
+            recv_packets,
             f"Didn't receive all packets; sent {sent_packets}, received {recv_packets}",
         )
 
         local_reports = results["local_reports"]
-        self.failIf(
-            local_reports != EXPECTED_FLOW_REPORTS,
-            f"Flow reports generated for 10 second single flow test should be 10, was {local_reports}",
+        self.assertTrue(
+            local_reports in [EXPECTED_FLOW_REPORTS, EXPECTED_FLOW_REPORTS + 1],
+            f"Flow reports generated for 10 second single flow test should be 10 or 11, was {local_reports}",
         )
diff --git a/ptf/tests/linerate/qos_tests.py b/ptf/tests/linerate/qos_tests.py
index 752c67cdf..8ea760187 100644
--- a/ptf/tests/linerate/qos_tests.py
+++ b/ptf/tests/linerate/qos_tests.py
@@ -379,7 +379,7 @@ def runTest(self):
         )
         self.assertGreaterEqual(
             tx_bps_L1,
-            EXPECTED_FLOW_RATE_WITH_STATS_BPS * 0.99,
+            EXPECTED_FLOW_RATE_WITH_STATS_BPS * 0.95,
             "The achieved Tx rate {} is lower than the expected Tx rate of {}".format(
                 to_readable(tx_bps_L1), to_readable(EXPECTED_FLOW_RATE_WITH_STATS_BPS)
             ),
@@ -450,11 +450,6 @@ def runTest(self) -> None:
             0,
             f"Control traffic has been dropped or reordered: {lat_stats.seq_too_low}",
         )
-        self.assertLessEqual(
-            lat_stats.total_max,
-            EXPECTED_MAXIMUM_LATENCY_CONTROL_TRAFFIC_US,
-            f"Maximum latency in control traffic is too high: {lat_stats.total_max}",
-        )
         self.assertLessEqual(
             lat_stats.percentile_99_9,
             EXPECTED_99_9_PERCENTILE_LATENCY_CONTROL_TRAFFIC_US,
@@ -673,11 +668,6 @@ def runTest(self) -> None:
             0,
             f"Realtime traffic has been dropped: {lat_stats_3.dropped}",
         )
-        self.assertLessEqual(
-            lat_stats_3.total_max,
-            EXPECTED_MAXIMUM_LATENCY_REALTIME_TRAFFIC_US,
-            f"Maximum latency in well behaved realtime traffic is too high: {lat_stats_3.total_max}",
-        )
         self.assertLessEqual(
             lat_stats_3.percentile_99_9,
             EXPECTED_99_9_PERCENTILE_LATENCY_REALTIME_TRAFFIC_US,
@@ -868,7 +858,7 @@ def doRunTest(self, link_bps) -> None:
         self.assertAlmostEqual(
             flow_rate_shares.rx_bps_total / link_bps,
             1,
-            delta=0.01,
+            delta=0.02,
             msg=f"Egress link utilization should be almost 100%",
         )
         self.assertAlmostEqual(