Rovers' leading scorer this returned from suspension to make his 250th appearance for Rovers in this all-Lancashire clash but Dack's match ended in the 65th minute when he was left clutching his knee after landing awkwardly.
He was then taken off the field on a stretcher after several minutes' treatment.
Victory would have seen Rovers go level on points with sixth-placed Brentford -- the top two at the end of the regular season gain automatic entry into the lucrative Premier League with the other promotion place decided by a series of play-off matches involving the next four clubs.
Tony Mowbray's side came close to a goal, Danny Graham's header hitting the woodwork in the second half before Lewis Holtby was denied in stoppage time.
But Blackburn's former Wigan goalkeeper Christian Walton made two good saves to deny the Latics a first away win this season.
A draw at Ewood Park was enough to see Wigan climb off the foot of the table, despite their winless run now extending to 11 games.