Wells was forced off 10 minutes into the second half of Bradford's derby win at York on Saturday and could miss out with a view to returning to contention for Saturday's home game with Aldershot.
Garry Thompson replaced Wells at the weekend and went on to score the Bantams' second goal, but Alan Connell and Andy Gray are also pushing for recalls.
Manager Phil Parkinson has no other new injury or suspension problems, but hinted he may make several changes as he utilises his squad to the full.
Goalkeeper Matt Duke is hoping to return after being named among the substitutes at York following suspension, while defender Rory McArdle, winger Zavon Hines and midfielder Nathan Doyle are all likely to be included in Parkinson's plans after starting on the bench on Saturday.
James Meredith is making good progress as he overcomes the after-effects of glandular fever and fellow defender Luke Oliver (Achilles) is out for the rest of the season.
