diff --git a/tests/tracer/test_propagation.py b/tests/tracer/test_propagation.py
index f79116826d3..e34167ce04f 100644
--- a/tests/tracer/test_propagation.py
+++ b/tests/tracer/test_propagation.py
@@ -47,7 +47,6 @@
 from tests.contrib.fastapi.conftest import test_spans as fastapi_test_spans  # noqa:F401
 from tests.contrib.fastapi.conftest import tracer  # noqa:F401
 
-from ..utils import flaky
 from ..utils import override_env
 from ..utils import override_global_config
 
@@ -837,7 +836,6 @@ def test_extract_128bit_trace_ids_tracecontext():
                 assert child_span.trace_id == trace_id
 
 
-@flaky(1735812000, reason="FIXME: Failing due to the global tracer being used in all tests")
 def test_last_dd_span_id():
     non_dd_remote_context = HTTPPropagator.extract(
         {
diff --git a/tests/tracer/test_tracer.py b/tests/tracer/test_tracer.py
index 85d8be52a36..3445dfbefb2 100644
--- a/tests/tracer/test_tracer.py
+++ b/tests/tracer/test_tracer.py
@@ -676,6 +676,9 @@ def test_tracer_shutdown_timeout():
     mock_stop.assert_called_once_with(2)
 
 
+@pytest.mark.subprocess(
+    err=b"Spans started after the tracer has been shut down will not be sent to the Datadog Agent.\n",
+)
 def test_tracer_shutdown():
     import mock
 
@@ -691,26 +694,6 @@ def test_tracer_shutdown():
     mock_write.assert_not_called()
 
 
-def test_tracer_shutdown_warning():
-    import logging
-
-    import mock
-
-    from ddtrace.trace import tracer as t
-
-    t.shutdown()
-
-    with mock.patch.object(logging.Logger, "warning") as mock_logger:
-        with t.trace("something"):
-            pass
-
-    mock_logger.assert_has_calls(
-        [
-            mock.call("Spans started after the tracer has been shut down will not be sent to the Datadog Agent."),
-        ]
-    )
-
-
 @pytest.mark.skip(reason="Fails to Pickle RateLimiter in the Tracer")
 @pytest.mark.subprocess
 def test_tracer_fork():