Wesolowski was absent from midfield for the back-to-back 1-0 wins over Bury and Yeovil over the last week due to a slight tear to his medial knee ligament and will not be risked before the end of the season unless absolutely necessary.
Centre-back Tarkowski definitely has no further part to play this term due to a more severe problem with the same ligament.
Fellow defender Cliff Byrne remains doubtful due to a groin complaint but top scorer Jose Baxter returns to bolster boss Lee Johnson's attacking options after completing a two-match suspension.
Victory would mark Oldham's first three-match winning run in the current campaign.
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