diff --git a/ci/ray_ci/core.tests.yml b/ci/ray_ci/core.tests.yml
index c1a9f4589482..3262ca7800bb 100644
--- a/ci/ray_ci/core.tests.yml
+++ b/ci/ray_ci/core.tests.yml
@@ -1,4 +1,2 @@
 flaky_tests:
-  - //python/ray/tests:test_client_library_integration
-  - //src/ray/common/test:ray_syncer_test
   - //:gcs_placement_group_manager_test
diff --git a/python/ray/tests/test_reconstruction_stress.py b/python/ray/tests/test_reconstruction_stress.py
index 6b0f8a102d54..a03123845611 100644
--- a/python/ray/tests/test_reconstruction_stress.py
+++ b/python/ray/tests/test_reconstruction_stress.py
@@ -6,7 +6,6 @@
 import pytest
 
 import ray
-from ray._private.test_utils import skip_flaky_core_test_premerge
 
 SIGKILL = signal.SIGKILL if sys.platform != "win32" else signal.SIGTERM
 
@@ -23,7 +22,6 @@ def config(request):
 
 
 @pytest.mark.skipif(sys.platform == "win32", reason="Failing on Windows.")
-@skip_flaky_core_test_premerge("https://github.com/ray-project/ray/issues/41514")
 def test_reconstruction_stress(config, ray_start_cluster):
     config["task_retry_delay_ms"] = 100
     config["max_direct_call_object_size"] = 100
diff --git a/python/ray/tests/test_runtime_env_working_dir_3.py b/python/ray/tests/test_runtime_env_working_dir_3.py
index b761ac05b280..d71886c81ba4 100644
--- a/python/ray/tests/test_runtime_env_working_dir_3.py
+++ b/python/ray/tests/test_runtime_env_working_dir_3.py
@@ -16,7 +16,6 @@
     chdir,
     check_local_files_gced,
     wait_for_condition,
-    skip_flaky_core_test_premerge,
     find_free_port,
 )
 
@@ -257,7 +256,6 @@ def check(self):
     @pytest.mark.parametrize(
         "source", [S3_PACKAGE_URI, lazy_fixture("tmp_working_dir")]
     )
-    @skip_flaky_core_test_premerge("https://github.com/ray-project/ray/issues/40781")
     def test_detached_actor_gc(
         self,
         start_cluster,
@@ -352,7 +350,6 @@ def test_import(self):
         wait_for_condition(lambda: check_local_files_gced(cluster, whitelist=whitelist))
         print("check_local_files_gced passed wait_for_condition block.")
 
-    @skip_flaky_core_test_premerge("https://github.com/ray-project/ray/issues/40781")
     def test_hit_cache_size_limit(
         self, start_cluster, URI_cache_10_MB, disable_temporary_uri_pinning
     ):