diff --git a/tests/integration/test_throttling/test.py b/tests/integration/test_throttling/test.py
index 62640394a85..526c34ac916 100644
--- a/tests/integration/test_throttling/test.py
+++ b/tests/integration/test_throttling/test.py
@@ -117,7 +117,8 @@ def assert_took(took, should_took):
     # we need to decrease the lower limit because the server limits could
     # be enforced by throttling some server background IO instead of query IO
     # and we have no control over it
-    assert took >= should_took[0] * 0.85 and took < should_took[1]
+    # Note that throttler does not apply any restrictions on upper bound, so we can only tell how much time required "at least", not "at most"
+    assert took >= should_took * 0.85
 
 
 @pytest.mark.parametrize(
@@ -132,7 +133,7 @@ def assert_took(took, should_took):
             None,
             None,
             None,
-            (0, 3),
+            0,
             id="no_local_throttling",
         ),
         # reading 1e6*8 bytes with 1M default bandwith should take (8-1)/1=7 seconds
@@ -142,7 +143,7 @@ def assert_took(took, should_took):
             "user",
             "max_backup_bandwidth",
             "1M",
-            (7, 14),
+            7,
             id="user_local_throttling",
         ),
         # reading 1e6*8 bytes with 2M default bandwith should take (8-2)/2=3 seconds
@@ -152,7 +153,7 @@ def assert_took(took, should_took):
             "server",
             "max_backup_bandwidth_for_server",
             "2M",
-            (3, 7),
+            3,
             id="server_local_throttling",
         ),
         #
@@ -164,7 +165,7 @@ def assert_took(took, should_took):
             None,
             None,
             None,
-            (0, 3),
+            0,
             id="no_remote_to_local_throttling",
         ),
         # reading 1e6*8 bytes with 1M default bandwith should take (8-1)/1=7 seconds
@@ -184,7 +185,7 @@ def assert_took(took, should_took):
             "server",
             "max_backup_bandwidth_for_server",
             "2M",
-            (3, 7),
+            3,
             id="server_remote_to_local_throttling",
         ),
         #
@@ -196,7 +197,7 @@ def assert_took(took, should_took):
             None,
             None,
             None,
-            (0, 3),
+            0,
             id="no_remote_to_remote_throttling",
         ),
         # No throttling for S3-to-S3, uses native copy
@@ -206,7 +207,7 @@ def assert_took(took, should_took):
             "user",
             "max_backup_bandwidth",
             "1M",
-            (0, 3),
+            0,
             id="user_remote_to_remote_throttling",
         ),
         # No throttling for S3-to-S3, uses native copy
@@ -216,7 +217,7 @@ def assert_took(took, should_took):
             "server",
             "max_backup_bandwidth_for_server",
             "2M",
-            (0, 3),
+            0,
             id="server_remote_to_remote_throttling",
         ),
         #
@@ -233,7 +234,7 @@ def assert_took(took, should_took):
             None,
             None,
             None,
-            (0, 3),
+            0,
             id="no_local_to_remote_throttling",
         ),
         # reading 1e6*8 bytes with 1M default bandwith should take (8-1)/1=7 seconds, but for S3Client it is 2x more
@@ -243,7 +244,7 @@ def assert_took(took, should_took):
             "user",
             "max_backup_bandwidth",
             "1M",
-            (7 * 3, 7 * 4 - 1),
+            7 * 3,
             id="user_local_to_remote_throttling",
         ),
         # reading 1e6*8 bytes with 2M default bandwith should take (8-2)/2=3 seconds, but for S3Client it is 2x more
@@ -253,7 +254,7 @@ def assert_took(took, should_took):
             "server",
             "max_backup_bandwidth_for_server",
             "2M",
-            (3 * 3, 3 * 5),
+            3 * 3,
             id="server_local_to_remote_throttling",
         ),
     ],
@@ -306,7 +307,7 @@ def test_backup_throttling_override():
             "user",
             "max_local_read_bandwidth",
             "1M",
-            (7, 14),
+            7,
             id="user_local_throttling",
         ),
         # reading 1e6*8 bytes with 2M default bandwith should take (8-2)/2=3 seconds
@@ -315,7 +316,7 @@ def test_backup_throttling_override():
             "server",
             "max_local_read_bandwidth_for_server",
             "2M",
-            (3, 7),
+            3,
             id="server_local_throttling",
         ),
         #
@@ -328,7 +329,7 @@ def test_backup_throttling_override():
             "user",
             "max_remote_read_network_bandwidth",
             "1M",
-            (7, 14),
+            7,
             id="user_remote_throttling",
         ),
         # reading 1e6*8 bytes with 2M default bandwith should take (8-2)/2=3 seconds
@@ -337,7 +338,7 @@ def test_backup_throttling_override():
             "server",
             "max_remote_read_network_bandwidth_for_server",
             "2M",
-            (3, 7),
+            3,
             id="server_remote_throttling",
         ),
     ],
@@ -368,7 +369,7 @@ def test_read_throttling(policy, mode, setting, value, should_took):
             "user",
             "max_local_write_bandwidth",
             "1M",
-            (7, 14),
+            7,
             id="local_user_throttling",
         ),
         # reading 1e6*8 bytes with 2M default bandwith should take (8-2)/2=3 seconds
@@ -377,29 +378,29 @@ def test_read_throttling(policy, mode, setting, value, should_took):
             "server",
             "max_local_write_bandwidth_for_server",
             "2M",
-            (3, 7),
+            3,
             id="local_server_throttling",
         ),
         #
         # Remote
         #
         pytest.param("s3", None, None, None, (0, 3), id="no_remote_throttling"),
-        # writeing 1e6*8 bytes with 1M default bandwith should take (8-1)/1=7 seconds
+        # writing 1e6*8 bytes with 1M default bandwith should take (8-1)/1=7 seconds
         pytest.param(
             "s3",
             "user",
             "max_remote_write_network_bandwidth",
             "1M",
-            (7, 14),
+            7,
             id="user_remote_throttling",
         ),
-        # writeing 1e6*8 bytes with 2M default bandwith should take (8-2)/2=3 seconds
+        # writing 1e6*8 bytes with 2M default bandwith should take (8-2)/2=3 seconds
         pytest.param(
             "s3",
             "server",
             "max_remote_write_network_bandwidth_for_server",
             "2M",
-            (3, 7),
+            3,
             id="server_remote_throttling",
         ),
     ],