diff --git a/binder/environment.yml b/binder/environment.yml
index e3bc3809..64f77d90 100644
--- a/binder/environment.yml
+++ b/binder/environment.yml
@@ -5,6 +5,6 @@ dependencies:
   - numpy
   - pandas
   - matplotlib
-  - nteract-scrapbook
+  - scrapbook
   - nbformat
   - nbclient
diff --git a/nbclient/tests/test_util.py b/nbclient/tests/test_util.py
index dc206826..e40c639c 100644
--- a/nbclient/tests/test_util.py
+++ b/nbclient/tests/test_util.py
@@ -20,31 +20,23 @@ async def _test():
 
     loop = asyncio.new_event_loop()
     asyncio.set_event_loop(loop)
-    try:
-        event_loop = loop.run_until_complete(_test())
-        assert event_loop is loop
-    finally:
-        asyncio._set_running_loop(None)  # it seems nest_asyncio doesn't reset this
+    event_loop = loop.run_until_complete(_test())
+    assert event_loop is loop
 
 
 def test_nested_asyncio_with_no_ioloop():
     asyncio.set_event_loop(None)
-    try:
-        assert some_async_function() == 42
-    finally:
-        asyncio._set_running_loop(None)  # it seems nest_asyncio doesn't reset this
+    assert some_async_function() == 42
 
 
 def test_nested_asyncio_with_tornado():
     # This tests if tornado accepts the pure-Python Futures, see
     # https://github.com/tornadoweb/tornado/issues/2753
-    # https://github.com/erdewit/nest_asyncio/issues/23
     asyncio.set_event_loop(asyncio.new_event_loop())
     ioloop = tornado.ioloop.IOLoop.current()
 
     async def some_async_function():
         future: asyncio.Future = asyncio.ensure_future(asyncio.sleep(0.1))
-        # this future is a different future after nested-asyncio has patched
         # the asyncio module, check if tornado likes it:
         ioloop.add_future(future, lambda f: f.result())  # type:ignore
         await future
@@ -56,8 +48,6 @@ def some_sync_function():
     async def run():
         # calling some_async_function directly should work
         assert await some_async_function() == 42
-        # but via a sync function (using nested-asyncio) can lead to issues:
-        # https://github.com/tornadoweb/tornado/issues/2753
         assert some_sync_function() == 42
 
     ioloop.run_sync(run)
diff --git a/nbclient/util.py b/nbclient/util.py
index 4d6b689d..480e40eb 100644
--- a/nbclient/util.py
+++ b/nbclient/util.py
@@ -3,106 +3,10 @@
 # Copyright (c) Jupyter Development Team.
 # Distributed under the terms of the Modified BSD License.
 
-import asyncio
 import inspect
-import sys
-from typing import Any, Awaitable, Callable, Optional, TypeVar, Union
+from typing import Any, Callable, Optional
 
-
-def check_ipython() -> None:
-    # original from vaex/asyncio.py
-    IPython = sys.modules.get('IPython')
-    if IPython:
-        version_str = IPython.__version__
-        # We get rid of any trailing ".dev"
-        version_str = version_str.replace(".dev", "")
-
-        IPython_version = tuple(map(int, version_str.split('.')))
-        if IPython_version < (7, 0, 0):
-            raise RuntimeError(
-                f'You are using IPython {IPython.__version__} '
-                'while we require 7.0.0+, please update IPython'
-            )
-
-
-def check_patch_tornado() -> None:
-    """If tornado is imported, add the patched asyncio.Future to its tuple of acceptable Futures"""
-    # original from vaex/asyncio.py
-    if 'tornado' in sys.modules:
-        import tornado.concurrent
-
-        if asyncio.Future not in tornado.concurrent.FUTURES:
-            tornado.concurrent.FUTURES = tornado.concurrent.FUTURES + (
-                asyncio.Future,
-            )  # type:ignore[assignment]
-
-
-def just_run(coro: Awaitable) -> Any:
-    """Make the coroutine run, even if there is an event loop running (using nest_asyncio)"""
-    try:
-        loop = asyncio.get_running_loop()
-    except RuntimeError:
-        loop = None
-    if loop is None:
-        had_running_loop = False
-        loop = asyncio.new_event_loop()
-        asyncio.set_event_loop(loop)
-    else:
-        had_running_loop = True
-    if had_running_loop:
-        # if there is a running loop, we patch using nest_asyncio
-        # to have reentrant event loops
-        check_ipython()
-        import nest_asyncio
-
-        nest_asyncio.apply()
-        check_patch_tornado()
-    return loop.run_until_complete(coro)
-
-
-T = TypeVar("T")
-
-
-def run_sync(coro: Callable[..., Awaitable[T]]) -> Callable[..., T]:
-    """Runs a coroutine and blocks until it has executed.
-
-    An event loop is created if no one already exists. If an event loop is
-    already running, this event loop execution is nested into the already
-    running one if `nest_asyncio` is set to True.
-
-    Parameters
-    ----------
-    coro : coroutine
-        The coroutine to be executed.
-
-    Returns
-    -------
-    result :
-        Whatever the coroutine returns.
-    """
-
-    def wrapped(*args, **kwargs):
-        return just_run(coro(*args, **kwargs))
-
-    wrapped.__doc__ = coro.__doc__
-    return wrapped
-
-
-async def ensure_async(obj: Union[Awaitable, Any]) -> Any:
-    """Convert a non-awaitable object to a coroutine if needed,
-    and await it if it was not already awaited.
-    """
-    if inspect.isawaitable(obj):
-        try:
-            result = await obj
-        except RuntimeError as e:
-            if str(e) == 'cannot reuse already awaited coroutine':
-                # obj is already the coroutine's result
-                return obj
-            raise
-        return result
-    # obj doesn't need to be awaited
-    return obj
+from jupyter_core.utils import ensure_async, run_sync  # noqa: F401
 
 
 async def run_hook(hook: Optional[Callable], **kwargs: Any) -> None:
diff --git a/pyproject.toml b/pyproject.toml
index 62afba3d..7416b1f9 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -37,7 +37,6 @@ classifiers = [
 dependencies = [
     "jupyter_client>=6.1.12",
     "nbformat>=5.1",
-    "nest_asyncio",
     "traitlets>=5.3",
 ]
 
@@ -153,7 +152,6 @@ warn_unused_ignores = true
 [[tool.mypy.overrides]]
 module = [
     "async_generator.*",
-    "nest_asyncio.*",
     "testpath",
     "xmltodict",
 ]