Mee, who has endured a succession of fitness problems this season, limped out of Tuesday night's 1-0 loss at Leeds during first-half stoppage time with a hamstring problem.
Danny Lafferty came on for the former Manchester City youth team captain and is favourite to get the nod to deputise at left-back in the event of his absence, ahead of Joseph Mills.
Dyche must draw his attack from Sam Vokes, Martin Paterson and Danny Ings against Malky Mackay's title chasers, with top scorer Charlie Austin out for the season after having his appendix removed.
Junior Stanislas is pushing for a return to the starting line-up after Fulham wideman Alex Kacaniklic was recalled from his loan spell by the London club.
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