Checking if reused mySQL connection is still live before use

Is it necessary to check whether a mysql.connector is connected each time I reuse it before running any SQL statements or is this something which is already built-in to mysql.connector? Do I need to check for connection using db.is_connected() and write some retry routine.

This is a WSGI webserver so my understanding is that there will only ever be one request/thread at a time. Connection pooling has been suggested elsewhere but I am unclear as to whether that is necessary and/or appropriate for a WSGI webserver.