diff --git a/.github/workflows/testing.yml b/.github/workflows/testing.yml
index a7becfb4..f42348cd 100644
--- a/.github/workflows/testing.yml
+++ b/.github/workflows/testing.yml
@@ -69,7 +69,7 @@ jobs:
       shell: bash
       run: |
         COVERAGE_PROCESS_START=$GITHUB_WORKSPACE/.coveragerc \
-          PYTHONPATH='.:tests' python -m pytest -r s
+          PYTHONPATH='.:tests' python -m pytest -r s -vs
         coverage combine --append
         coverage xml -i
     - name: Publish coverage results
diff --git a/CHANGES.md b/CHANGES.md
index 517c5db5..a6b0b443 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -1,6 +1,9 @@
 In development
 ==============
 
+- Make pickling of functions depending on globals in notebook more
+  deterministic. ([PR#560](https://github.com/cloudpipe/cloudpickle/pull/560))
+
 3.1.2
 =====
 
diff --git a/cloudpickle/cloudpickle.py b/cloudpickle/cloudpickle.py
index e600b35f..9f9f7971 100644
--- a/cloudpickle/cloudpickle.py
+++ b/cloudpickle/cloudpickle.py
@@ -835,6 +835,13 @@ def _code_reduce(obj):
     # See the inline comment in _class_setstate for details.
     co_name = "".join(obj.co_name)
 
+    # co_filename is not used in the constructor of code objects, so we can
+    # safely set it to indicate that this is dynamic code. This also makes
+    # the payload deterministic, independent of where the function is defined
+    # which is especially useful when defining classes in jupyter/ipython
+    # cells which do not have a deterministic filename.
+    co_filename = "".join("<dynamic-code>")
+
     # Create shallow copies of these tuple to make cloudpickle payload deterministic.
     # When creating a code object during load, copies of these four tuples are
     # created, while in the main process, these tuples can be shared.
@@ -857,7 +864,7 @@ def _code_reduce(obj):
             obj.co_consts,
             co_names,
             co_varnames,
-            obj.co_filename,
+            co_filename,
             co_name,
             obj.co_qualname,
             obj.co_firstlineno,
@@ -880,7 +887,7 @@ def _code_reduce(obj):
             obj.co_consts,
             co_names,
             co_varnames,
-            obj.co_filename,
+            co_filename,
             co_name,
             obj.co_firstlineno,
             obj.co_linetable,
@@ -901,7 +908,7 @@ def _code_reduce(obj):
             obj.co_code,
             obj.co_consts,
             co_varnames,
-            obj.co_filename,
+            co_filename,
             co_name,
             obj.co_firstlineno,
             obj.co_lnotab,
@@ -925,7 +932,7 @@ def _code_reduce(obj):
             obj.co_consts,
             co_names,
             co_varnames,
-            obj.co_filename,
+            co_filename,
             co_name,
             obj.co_firstlineno,
             obj.co_lnotab,
diff --git a/dev-requirements.txt b/dev-requirements.txt
index 35c529fe..7735fd92 100644
--- a/dev-requirements.txt
+++ b/dev-requirements.txt
@@ -7,6 +7,8 @@ pytest-cov
 psutil
 # To be able to test tornado coroutines
 tornado
+# To be able to test behavior in jupyter-notebooks
+ipykernel
 # To be able to test numpy specific things
 # but do not build numpy from source on Python nightly
 numpy >=1.18.5; python_version <= '3.12'
diff --git a/tests/cloudpickle_ipykernel_test.py b/tests/cloudpickle_ipykernel_test.py
new file mode 100644
index 00000000..8a5cbfd7
--- /dev/null
+++ b/tests/cloudpickle_ipykernel_test.py
@@ -0,0 +1,100 @@
+import sys
+import time
+import pytest
+import platform
+import textwrap
+from queue import Empty
+
+from .testutils import check_deterministic_pickle
+
+if sys.platform == "win32":
+    if sys.version_info < (3, 11):
+        pytest.skip(
+            "ipykernel requires Python 3.11 or later",
+            allow_module_level=True
+        )
+ipykernel = pytest.importorskip("ipykernel")
+
+
+def run_in_notebook(code, timeout=10):
+
+    km = ipykernel.connect.jupyter_client.KernelManager()
+    km.start_kernel()
+    kc = km.client()
+    kc.start_channels()
+    status, output, err = "kernel_started", None, None
+    try:
+        assert km.is_alive() and kc.is_alive()
+        kc.wait_for_ready()
+        idx = kc.execute(code)
+        running = True
+        while running:
+            try:
+                res = kc.iopub_channel.get_msg(timeout=timeout)
+            except Empty:
+                status = "timeout"
+                break
+            if res['parent_header'].get('msg_id') != idx:
+                continue
+            content = res['content']
+            if content.get("name", "state") == "stdout":
+                output = content['text']
+            if "traceback" in content:
+                err = "\n".join(content['traceback'])
+                status = "error"
+            running = res['content'].get('execution_state', None) != "idle"
+    finally:
+        kc.shutdown()
+        kc.stop_channels()
+        km.shutdown_kernel(now=True, restart=False)
+        assert not km.is_alive()
+    if status not in ["error", "timeout"]:
+        status = "ok" if not running else "exec_error"
+    return status, output, err
+
+
+@pytest.mark.skipif(
+    platform.python_implementation() == "PyPy",
+    reason="Skip PyPy because tests are too slow",
+)
+@pytest.mark.parametrize("code, expected", [
+    ("1 + 1", "ok"),
+    ("raise ValueError('This is a test error')", "error"),
+    ("import time; time.sleep(100)", "timeout")
+
+])
+def test_run_in_notebook(code, expected):
+    code = textwrap.dedent(code)
+
+    t_start = time.time()
+    status, output, err = run_in_notebook(code, timeout=1)
+    duration = time.time() - t_start
+    assert status == expected, (
+        f"Unexpected status: {status}, output: {output}, err: {err}, duration: {duration}"
+    )
+    assert duration < 10, "Timeout not enforced properly"
+    if expected == "error":
+        assert "This is a test error" in err
+
+
+def test_deterministic_payload_for_dynamic_func_in_notebook():
+    code = textwrap.dedent("""
+        import cloudpickle
+
+        MY_PI = 3.1415
+
+        def get_pi():
+            return MY_PI
+
+        print(cloudpickle.dumps(get_pi))
+    """)
+
+    status, output, err = run_in_notebook(code)
+    assert status == "ok"
+    payload = eval(output.strip(), {})
+
+    status, output, err = run_in_notebook(code)
+    assert status == "ok"
+    payload2 = eval(output.strip(), {})
+
+    check_deterministic_pickle(payload, payload2)