diff --git a/CHANGELOG.md b/CHANGELOG.md
index 2527bac55e..2fe295b37c 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -9,6 +9,8 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 - `opentelemetry-instrumentation-aws-lambda` Bugfix: AWS Lambda event source key incorrect for SNS in instrumentation library. 
   ([#2612](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/2612))
+- `opentelemetry-instrumentation-system-metrics` Permit to use psutil 6.0+.
+  ([#2630](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/2630))
 
 ### Added
 
@@ -46,7 +48,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
   ([#2300](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/2300))
 - Rename AwsLambdaInstrumentor span attributes `faas.id` to `cloud.resource_id`, `faas.execution` to `faas.invocation_id`
   ([#2372](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/2372))
-- Drop support for instrumenting elasticsearch client < 6`
+- Drop support for instrumenting elasticsearch client < 6
   ([#2422](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/2422))
 - `opentelemetry-instrumentation-wsgi` Add `http.method` to `span.name`
   ([#2425](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/2425))
diff --git a/instrumentation/opentelemetry-instrumentation-pymysql/tests/test_pymysql_integration.py b/instrumentation/opentelemetry-instrumentation-pymysql/tests/test_pymysql_integration.py
index 587ebc1b53..6f8af5d8df 100644
--- a/instrumentation/opentelemetry-instrumentation-pymysql/tests/test_pymysql_integration.py
+++ b/instrumentation/opentelemetry-instrumentation-pymysql/tests/test_pymysql_integration.py
@@ -17,6 +17,7 @@
 import pymysql
 
 import opentelemetry.instrumentation.pymysql
+from opentelemetry import trace as trace_api
 from opentelemetry.instrumentation.pymysql import PyMySQLInstrumentor
 from opentelemetry.sdk import resources
 from opentelemetry.test.test_base import TestBase
@@ -78,6 +79,20 @@ def test_custom_tracer_provider(self, mock_connect):
 
         self.assertIs(span.resource, resource)
 
+    @mock.patch("pymysql.connect")
+    # pylint: disable=unused-argument
+    def test_no_op_tracer_provider(self, mock_connect):
+        PyMySQLInstrumentor().instrument(
+            tracer_provider=trace_api.NoOpTracerProvider()
+        )
+        cnx = pymysql.connect(database="test")
+        cursor = cnx.cursor()
+        query = "SELECT * FROM test"
+        cursor.execute(query)
+
+        spans_list = self.memory_exporter.get_finished_spans()
+        self.assertEqual(len(spans_list), 0)
+
     @mock.patch("pymysql.connect")
     # pylint: disable=unused-argument
     def test_instrument_connection(self, mock_connect):
diff --git a/instrumentation/opentelemetry-instrumentation-system-metrics/pyproject.toml b/instrumentation/opentelemetry-instrumentation-system-metrics/pyproject.toml
index 07ba2faa20..8518ddc8db 100644
--- a/instrumentation/opentelemetry-instrumentation-system-metrics/pyproject.toml
+++ b/instrumentation/opentelemetry-instrumentation-system-metrics/pyproject.toml
@@ -27,7 +27,7 @@ classifiers = [
 dependencies = [
   "opentelemetry-instrumentation == 0.47b0.dev",
   "opentelemetry-api ~= 1.11",
-  "psutil ~= 5.9",
+  "psutil >= 5.9.0, < 7",
 ]
 
 [project.optional-dependencies]
diff --git a/instrumentation/opentelemetry-instrumentation-system-metrics/test-requirements.txt b/instrumentation/opentelemetry-instrumentation-system-metrics/test-requirements.txt
index ddb98399cf..13573c65bd 100644
--- a/instrumentation/opentelemetry-instrumentation-system-metrics/test-requirements.txt
+++ b/instrumentation/opentelemetry-instrumentation-system-metrics/test-requirements.txt
@@ -4,7 +4,7 @@ importlib-metadata==6.11.0
 iniconfig==2.0.0
 packaging==24.0
 pluggy==1.5.0
-psutil==5.9.8
+psutil==6.0.0
 py-cpuinfo==9.0.0
 pytest==7.4.4
 pytest-benchmark==4.0.0