diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 066f95ea28..fcc79caef6 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -6,7 +6,7 @@ on:
     - 'release/*'
   pull_request:
 env:
-  CORE_REPO_SHA: adad94bfa69520cb4cbabca714827fd14503baf0
+  CORE_REPO_SHA: 65528f7534f1f5f2e8adc7520b6e696a84569c7d
 
 jobs:
   build:
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 0aeacc2232..60a3f35757 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -14,6 +14,9 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
   ([#720](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/720))
 
 
+### Changed
+- `opentelemetry-instrumentation-jinja2` Allow instrumentation of newer Jinja2 versions.
+
 ### Added
 - `opentelemetry-instrumentation-elasticsearch` Added `response_hook` and `request_hook` callbacks
   ([#670](https://github.com/open-telemetry/opentelemetry-python-contrib/pull/670))
diff --git a/instrumentation/README.md b/instrumentation/README.md
index 2117799389..84fdc2e8de 100644
--- a/instrumentation/README.md
+++ b/instrumentation/README.md
@@ -16,7 +16,7 @@
 | [opentelemetry-instrumentation-flask](./opentelemetry-instrumentation-flask) | flask >= 1.0, < 3.0 |
 | [opentelemetry-instrumentation-grpc](./opentelemetry-instrumentation-grpc) | grpcio ~= 1.27 |
 | [opentelemetry-instrumentation-httpx](./opentelemetry-instrumentation-httpx) | httpx >= 0.18.0, < 0.19.0 |
-| [opentelemetry-instrumentation-jinja2](./opentelemetry-instrumentation-jinja2) | jinja2~=2.7 |
+| [opentelemetry-instrumentation-jinja2](./opentelemetry-instrumentation-jinja2) | jinja2 >= 2.7, < 4.0 |
 | [opentelemetry-instrumentation-logging](./opentelemetry-instrumentation-logging) | logging |
 | [opentelemetry-instrumentation-mysql](./opentelemetry-instrumentation-mysql) | mysql-connector-python ~= 8.0 |
 | [opentelemetry-instrumentation-pika](./opentelemetry-instrumentation-pika) | pika >= 1.1.0 |
diff --git a/instrumentation/opentelemetry-instrumentation-jinja2/src/opentelemetry/instrumentation/jinja2/package.py b/instrumentation/opentelemetry-instrumentation-jinja2/src/opentelemetry/instrumentation/jinja2/package.py
index 4e4c8c15b2..4f4894d338 100644
--- a/instrumentation/opentelemetry-instrumentation-jinja2/src/opentelemetry/instrumentation/jinja2/package.py
+++ b/instrumentation/opentelemetry-instrumentation-jinja2/src/opentelemetry/instrumentation/jinja2/package.py
@@ -13,4 +13,4 @@
 # limitations under the License.
 
 
-_instruments = ("jinja2~=2.7",)
+_instruments = ("jinja2 >= 2.7, < 4.0",)
diff --git a/instrumentation/opentelemetry-instrumentation-jinja2/tests/test_jinja2.py b/instrumentation/opentelemetry-instrumentation-jinja2/tests/test_jinja2.py
index 00946abd8b..6591e0114f 100644
--- a/instrumentation/opentelemetry-instrumentation-jinja2/tests/test_jinja2.py
+++ b/instrumentation/opentelemetry-instrumentation-jinja2/tests/test_jinja2.py
@@ -16,6 +16,7 @@
 from unittest import mock
 
 import jinja2
+from packaging import version
 
 from opentelemetry import trace as trace_api
 from opentelemetry.instrumentation.jinja2 import Jinja2Instrumentor
@@ -31,8 +32,13 @@ def setUp(self):
         super().setUp()
         Jinja2Instrumentor().instrument()
         # prevent cache effects when using Template('code...')
-        # pylint: disable=protected-access
-        jinja2.environment._spontaneous_environments.clear()
+        if version.parse(jinja2.__version__) >= version.parse("3.0.0"):
+            # by clearing functools.lru_cache
+            jinja2.environment.get_spontaneous_environment.clear()
+        else:
+            # by clearing jinja2.utils.LRUCache
+            jinja2.environment._spontaneous_environments.clear()  # pylint: disable=no-member
+
         self.tracer = get_tracer(__name__)
 
     def tearDown(self):