diff --git a/Lib/hashlib.py b/Lib/hashlib.py
index 1b6e50247c1815..58c340d56e3ba5 100644
--- a/Lib/hashlib.py
+++ b/Lib/hashlib.py
@@ -70,6 +70,11 @@
 
 __builtin_constructor_cache = {}
 
+# Prefer our blake2 implementation
+# OpenSSL 1.1.0 comes with a limited implementation of blake2b/s. The OpenSSL
+# implementations neither support keyed blake2 (blake2 MAC) nor advanced
+# features like salt, personalization, or tree hashing. OpenSSL hash-only
+# variants are available as 'blake2b512' and 'blake2s256', though.
 __block_openssl_constructor = {
     'blake2b', 'blake2s',
 }
@@ -120,7 +125,7 @@ def __get_builtin_constructor(name):
 
 def __get_openssl_constructor(name):
     if name in __block_openssl_constructor:
-        # Prefer our blake2 and sha3 implementation.
+        # Prefer our builtin blake2 implementation.
         return __get_builtin_constructor(name)
     try:
         # MD5, SHA1, and SHA2 are in all supported OpenSSL versions
@@ -149,10 +154,7 @@ def __hash_new(name, data=b'', **kwargs):
     optionally initialized with data (which must be a bytes-like object).
     """
     if name in __block_openssl_constructor:
-        # Prefer our blake2 and sha3 implementation
-        # OpenSSL 1.1.0 comes with a limited implementation of blake2b/s.
-        # It does neither support keyed blake2 nor advanced features like
-        # salt, personal, tree hashing or SSE.
+        # Prefer our builtin blake2 implementation.
         return __get_builtin_constructor(name)(data, **kwargs)
     try:
         return _hashlib.new(name, data, **kwargs)