The defender was replaced in the opening 20 minutes of the 1-0 defeat at Cardiff on Saturday after hurting his leg in a collision with Peter Whittingham.
Boss Kenny Jackett does not expect striker Andy Keogh to return from his toe injury against 22nd-placed City, but is hopeful he will be available for the FA Cup game with Preston at the weekend.
Winger Chris Taylor remains sidelined with the knee problem that has kept him out of the club's last two games while skipper Paul Robinson is recovering from a pelvic injury.
Millwall are looking to end a run of three games without a win.
Millwall last week