diff --git a/jupyter_console/completer.py b/jupyter_console/completer.py
index d0b7b9a..6a38a6a 100644
--- a/jupyter_console/completer.py
+++ b/jupyter_console/completer.py
@@ -7,6 +7,16 @@
 from traitlets.config import Configurable
 from traitlets import Float
 
+import jupyter_client
+
+
+# jupyter_client 7.0+ has async channel methods that we expect to be sync here
+if jupyter_client.version_info >= (7,):
+    from jupyter_client.utils import run_sync
+else:
+    run_sync = lambda x: x
+
+
 class ZMQCompleter(Configurable):
     """Client-side completion machinery.
 
@@ -31,7 +41,7 @@ def complete_request(self, code, cursor_pos):
             cursor_pos=cursor_pos,
         )
     
-        msg = self.client.shell_channel.get_msg(timeout=self.timeout)
+        msg = run_sync(self.client.shell_channel.get_msg)(timeout=self.timeout)
         if msg['parent_header']['msg_id'] == msg_id:
             return msg['content']
 
diff --git a/jupyter_console/ptshell.py b/jupyter_console/ptshell.py
index a9daeed..31f424d 100644
--- a/jupyter_console/ptshell.py
+++ b/jupyter_console/ptshell.py
@@ -76,6 +76,18 @@
 from pygments.util import ClassNotFound
 from pygments.token import Token
 
+import jupyter_client
+
+
+# jupyter_client 7.0+ has async channel methods that we expect to be sync here
+# also, `block` was removed from `get_msg()`
+if jupyter_client._version.version_info[0] >= 7:
+    from jupyter_client.utils import run_sync
+    JUPYTER_CLIENT_7 = True
+else:
+    run_sync = lambda x: x
+    JUPYTER_CLIENT_7 = False
+
 
 def ask_yes_no(prompt, default=None, interrupt=None):
     """Asks a question and returns a boolean (y/n) answer.
@@ -705,8 +717,8 @@ def run_cell(self, cell, store_history=True):
             return
 
         # flush stale replies, which could have been ignored, due to missed heartbeats
-        while self.client.shell_channel.msg_ready():
-            self.client.shell_channel.get_msg()
+        while run_sync(self.client.shell_channel.msg_ready)():
+            run_sync(self.client.shell_channel.get_msg)()
         # execute takes 'hidden', which is the inverse of store_hist
         msg_id = self.client.execute(cell, not store_history)
 
@@ -739,7 +751,10 @@ def run_cell(self, cell, store_history=True):
     #-----------------
 
     def handle_execute_reply(self, msg_id, timeout=None):
-        msg = self.client.shell_channel.get_msg(block=False, timeout=timeout)
+        kwargs = {"timeout": timeout}
+        if not JUPYTER_CLIENT_7:
+            kwargs["block"] = False
+        msg = run_sync(self.client.shell_channel.get_msg)(**kwargs)
         if msg["parent_header"].get("msg_id", None) == msg_id:
 
             self.handle_iopub(msg_id)
@@ -778,7 +793,10 @@ def handle_is_complete_reply(self, msg_id, timeout=None):
         ## Get the is_complete response:
         msg = None
         try:
-            msg = self.client.shell_channel.get_msg(block=True, timeout=timeout)
+            kwargs = {"timeout": timeout}
+            if not JUPYTER_CLIENT_7:
+                kwargs["block"] = True
+            msg = run_sync(self.client.shell_channel.get_msg)(**kwargs)
         except Empty:
             warn('The kernel did not respond to an is_complete_request. '
                  'Setting `use_kernel_is_complete` to False.')
@@ -849,8 +867,8 @@ def handle_iopub(self, msg_id=''):
 
            It only displays output that is caused by this session.
         """
-        while self.client.iopub_channel.msg_ready():
-            sub_msg = self.client.iopub_channel.get_msg()
+        while run_sync(self.client.iopub_channel.msg_ready)():
+            sub_msg = run_sync(self.client.iopub_channel.get_msg)()
             msg_type = sub_msg['header']['msg_type']
 
             # Update execution_count in case it changed in another session
@@ -1003,7 +1021,7 @@ def handle_image_callable(self, data, mime):
     def handle_input_request(self, msg_id, timeout=0.1):
         """ Method to capture raw_input
         """
-        req = self.client.stdin_channel.get_msg(timeout=timeout)
+        req = run_sync(self.client.stdin_channel.get_msg)(timeout=timeout)
         # in case any iopub came while we were waiting:
         self.handle_iopub(msg_id)
         if msg_id == req["parent_header"].get("msg_id"):
@@ -1032,6 +1050,6 @@ def double_int(sig, frame):
 
             # only send stdin reply if there *was not* another request
             # or execution finished while we were reading.
-            if not (self.client.stdin_channel.msg_ready() or
-                    self.client.shell_channel.msg_ready()):
+            if not (run_sync(self.client.stdin_channel.msg_ready)() or
+                    run_sync(self.client.shell_channel.msg_ready)()):
                 self.client.input(raw_data)