diff --git a/bumble/gatt.py b/bumble/gatt.py
index cc66329e..889eaa44 100644
--- a/bumble/gatt.py
+++ b/bumble/gatt.py
@@ -23,6 +23,7 @@
 # Imports
 # -----------------------------------------------------------------------------
 import asyncio
+import enum
 import types
 import logging
 from pyee import EventEmitter
@@ -474,3 +475,12 @@ class Descriptor(Attribute):
 
     def __str__(self):
         return f'Descriptor(handle=0x{self.handle:04X}, type={self.type}, value={self.read_value(None).hex()})'
+
+
+class ClientCharacteristicConfigurationBits(enum.IntFlag):
+    '''
+    See Vol 3, Part G - 3.3.3.3 - Table 3.11 Client Characteristic Configuration bit field definition
+    '''
+    DEFAULT = 0x0000
+    NOTIFICATION = 0x0001
+    INDICATION = 0x0002
diff --git a/bumble/gatt_client.py b/bumble/gatt_client.py
index 07116fa0..bce0a327 100644
--- a/bumble/gatt_client.py
+++ b/bumble/gatt_client.py
@@ -37,7 +37,8 @@ from .gatt import (
     GATT_PRIMARY_SERVICE_ATTRIBUTE_TYPE,
     GATT_SECONDARY_SERVICE_ATTRIBUTE_TYPE,
     GATT_CHARACTERISTIC_ATTRIBUTE_TYPE,
-    Characteristic
+    Characteristic,
+    ClientCharacteristicConfigurationBits
 )
 
 # -----------------------------------------------------------------------------
@@ -558,13 +559,13 @@ class Client:
             return
 
         # Set the subscription bits and select the subscriber set
-        bits = 0
+        bits = ClientCharacteristicConfigurationBits.DEFAULT
         subscriber_sets = []
         if characteristic.properties & Characteristic.NOTIFY:
-            bits |= 0x0001
+            bits |= ClientCharacteristicConfigurationBits.NOTIFICATION
             subscriber_sets.append(self.notification_subscribers.setdefault(characteristic.handle, set()))
         if characteristic.properties & Characteristic.INDICATE:
-            bits |= 0x0002
+            bits |= ClientCharacteristicConfigurationBits.INDICATION
             subscriber_sets.append(self.indication_subscribers.setdefault(characteristic.handle, set()))
 
         # Add subscribers to the sets