diff --git a/CHANGELOG.md b/CHANGELOG.md
index 9b247bb..69ee05b 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,7 @@
 
 - Fix ssl context pass bool.
 - Fix missing `*.whl` for Python 3.12 (#94)
+- Fix SSL handshake error with MySQL server v8.0.34+. (#80)
 
 ### 0.2.9
 
diff --git a/asyncmy/connection.pyx b/asyncmy/connection.pyx
index 4768a43..fd380f2 100644
--- a/asyncmy/connection.pyx
+++ b/asyncmy/connection.pyx
@@ -750,9 +750,10 @@ class Connection:
         if self._user is None:
             raise ValueError("Did not specify a username")
 
+        charset_id = charset_by_name(self._charset).id
         if self._ssl_context:
             # capablities, max packet, charset
-            data = IIB.pack(self._client_flag, 16777216, 33)
+            data = IIB.pack(self._client_flag, MAX_PACKET_LEN, charset_id)
             data += b'\x00' * (32 - len(data))
 
             self.write_packet(data)
@@ -776,7 +777,6 @@ class Connection:
                 sock=raw_sock, ssl=self._ssl_context,
                 server_hostname=self._host,
             )
-        charset_id = charset_by_name(self._charset).id
         if isinstance(self._user, str):
             self._user = self._user.encode(self._encoding)