Andrews joined City from Crystal Palace last season and he has scored four times for the reserves this season.
His first team outings have been limited to just a 5 minute run-out as a substitute against Bristol City.
Andrews has already been loaned out to Sheffield Wednesday and Bristol City since his move to Coventry.
Leeds are without Jermaine Beckford and Tresor Kandol, both sent off in the draw at Gillingham, while Tore Andre Flo and Leon Constantine are injured, leaving Tomi Ameobi and Tom Elliott as Leeds' only available forwards at the moment.