diff --git a/pytest_tests/testsuites/metrics/test_epoch_metrics.py b/pytest_tests/testsuites/metrics/test_epoch_metrics.py
index 275a6aa..8693f6a 100644
--- a/pytest_tests/testsuites/metrics/test_epoch_metrics.py
+++ b/pytest_tests/testsuites/metrics/test_epoch_metrics.py
@@ -3,11 +3,11 @@ from frostfs_testlib.testing import parallel
 import pytest
 from frostfs_testlib import reporter
 from frostfs_testlib.steps.metrics import get_metrics_value
-from frostfs_testlib.storage.cluster import ClusterNode
+from frostfs_testlib.storage.cluster import ClusterNode, Cluster
 from frostfs_testlib.testing.cluster_test_base import ClusterTestBase
 
 
-@pytest.mark.order(-11)
+@pytest.mark.order(-7)
 @pytest.mark.nightly
 @pytest.mark.metrics
 class TestEpochMetrics(ClusterTestBase):
@@ -19,21 +19,21 @@ class TestEpochMetrics(ClusterTestBase):
             return None
 
     @allure.title("Check changes in metric frostfs_node_ir_epoch value")
-    def test_check_increase_epoch_metric(self):
+    def test_check_increase_epoch_metric(self, cluster: Cluster):
         metric_name = "frostfs_node_ir_epoch"
         with reporter.step("Get current value of metric: {metric_name} from each nodes"):
-            futures = parallel(self.get_metrics_search_by_greps_parallel, self.cluster.cluster_nodes, command=metric_name)
+            futures = parallel(self.get_metrics_search_by_greps_parallel, cluster.cluster_nodes, command=metric_name)
             metrics_results = [future.result() for future in futures if future.result() is not None]
 
         with reporter.step("Check that the metric values are the same in all nodes"):
             assert len(set(metrics_results)) == 1, f"Metric {metric_name} values aren't same in all nodes"
-            assert len(metrics_results) == len(self.cluster.cluster_nodes), "Metrics are not available in some nodes"
+            assert len(metrics_results) == len(cluster.cluster_nodes), "Metrics are not available in some nodes"
         
         with reporter.step("Tick epoch"):
             self.tick_epoch(wait_block=2)
   
         with reporter.step('Check that metric value increase'):
-            futures = parallel(self.get_metrics_search_by_greps_parallel, self.cluster.cluster_nodes, command=metric_name)
+            futures = parallel(self.get_metrics_search_by_greps_parallel, cluster.cluster_nodes, command=metric_name)
             new_metrics_results = [future.result() for future in futures if future.result() is not None]
 
             assert len(set(new_metrics_results)) == 1, f"Metric {metric_name} values aren't same in all nodes"
diff --git a/pytest_tests/testsuites/metrics/test_object_metrics.py b/pytest_tests/testsuites/metrics/test_object_metrics.py
index 0653453..020720e 100644
--- a/pytest_tests/testsuites/metrics/test_object_metrics.py
+++ b/pytest_tests/testsuites/metrics/test_object_metrics.py
@@ -17,7 +17,7 @@ from frostfs_testlib.utils.file_utils import TestFile
 from ...helpers.container_request import PUBLIC_WITH_POLICY, ContainerRequest, requires_container
 
 
-@pytest.mark.order(-7)
+@pytest.mark.order(-11)
 @pytest.mark.nightly
 @pytest.mark.metrics
 class TestObjectMetrics(ClusterTestBase):
@@ -89,6 +89,7 @@ class TestObjectMetrics(ClusterTestBase):
             objects_metric_counter += metric_step
             check_metrics_counter(
                 container_nodes,
+                operator=">=",
                 counter_exp=objects_metric_counter,
                 command="frostfs_node_engine_objects_total",
                 type="user",
@@ -108,6 +109,7 @@ class TestObjectMetrics(ClusterTestBase):
             objects_metric_counter -= metric_step
             check_metrics_counter(
                 container_nodes,
+                operator=">=",
                 counter_exp=objects_metric_counter,
                 command="frostfs_node_engine_objects_total",
                 type="user",
@@ -136,6 +138,7 @@ class TestObjectMetrics(ClusterTestBase):
             objects_metric_counter += metric_step
             check_metrics_counter(
                 container_nodes,
+                operator=">=",
                 counter_exp=objects_metric_counter,
                 command="frostfs_node_engine_objects_total",
                 type="user",
@@ -152,6 +155,7 @@ class TestObjectMetrics(ClusterTestBase):
             self.tick_epochs(epochs_to_tick=2)
             check_metrics_counter(
                 container_nodes,
+                operator=">=",
                 counter_exp=objects_metric_counter,
                 command="frostfs_node_engine_objects_total",
                 type="user",
@@ -164,6 +168,7 @@ class TestObjectMetrics(ClusterTestBase):
             objects_metric_counter -= metric_step
             check_metrics_counter(
                 container_nodes,
+                operator=">=",
                 counter_exp=objects_metric_counter,
                 command="frostfs_node_engine_objects_total",
                 type="user",
@@ -191,6 +196,7 @@ class TestObjectMetrics(ClusterTestBase):
             objects_metric_counter += metric_step
             check_metrics_counter(
                 container_nodes,
+                operator=">=",
                 counter_exp=objects_metric_counter,
                 command="frostfs_node_engine_objects_total",
                 type="user",
@@ -210,6 +216,7 @@ class TestObjectMetrics(ClusterTestBase):
             objects_metric_counter -= metric_step
             check_metrics_counter(
                 container_nodes,
+                operator=">=",
                 counter_exp=objects_metric_counter,
                 command="frostfs_node_engine_objects_total",
                 type="user",