diff --git a/jose/jwk.py b/jose/jwk.py
index 4f69f51a..5edfc981 100644
--- a/jose/jwk.py
+++ b/jose/jwk.py
@@ -19,6 +19,7 @@
 from jose.constants import ALGORITHMS
 from jose.exceptions import JWKError
 from jose.utils import base64url_decode
+from jose.utils import constant_time_string_compare
 
 # PyCryptodome's RSA module doesn't have PyCrypto's _RSAobj class
 # Instead it has a class named RsaKey, which serves the same purpose.
@@ -159,7 +160,7 @@ def sign(self, msg):
         return hmac.new(self.prepared_key, msg, self.hash_alg).digest()
 
     def verify(self, msg, sig):
-        return sig == self.sign(msg)
+        return constant_time_string_compare(sig, self.sign(msg))
 
 
 class RSAKey(Key):
diff --git a/jose/utils.py b/jose/utils.py
index ce5b9657..fc409422 100644
--- a/jose/utils.py
+++ b/jose/utils.py
@@ -1,5 +1,6 @@
 
 import base64
+import hmac
 
 
 def calculate_at_hash(access_token, hash_alg):
@@ -58,3 +59,27 @@ def timedelta_total_seconds(delta):
         delta (timedelta): A timedelta to convert to seconds.
     """
     return delta.days * 24 * 60 * 60 + delta.seconds
+
+
+def constant_time_string_compare(a, b):
+    """Helper for comparing string in constant time, independent
+    of the python version being used.
+
+    Args:
+        a (str): A string to compare
+        b (str): A string to compare
+    """
+
+    try:
+        return hmac.compare_digest(a, b)
+    except AttributeError:
+
+        if len(a) != len(b):
+            return False
+
+        result = 0
+
+        for x, y in zip(a, b):
+            result |= ord(x) ^ ord(y)
+
+        return result == 0