Taylor suffered a back injury in Good Fridays disappointing 2-2 draw with Northampton after scoring the Millers`second goal and is rated highly doubtful.
Law sustained an ankle problem in a challenge and had to come off in the second half at Sixfields as Andy Scott's men threw away a two-goal lead which has further harmed their chances of making the play-offs.
Both men went in to see physio Dennis Circuit on Saturday to give themselves the best chance of making Mondays game at Don Valley.
Andy Warrington remains a doubt after missing the last three matches with a foot problem.
Source: PA