Bryson missed the 1-1 draw at npower Championship leaders Cardiff on Tuesday night with a groin injury and the midfielder will continue to be monitored ahead of the weekend.
The Rams' other injury problems do not look like clearing up in time for the St Andrew's clash, though.
Jamie Ward was absent in the Welsh capital after a hamstring problem forced him off during the home defeat to Crystal Palace last Friday. The diminutive forward could be back in the squad when Leicester visit Pride Park on March 16.
John Brayford was an ever-present in Nigel Clough's team until a hamstring injury ruled him out against Cardiff. The extent of the problem is not yet known but the right-back could be looking at several weeks on the sidelines.
Fellow defenders James O'Connor (knee), Kieron Freeman (ankle) and Mark O'Brien (knee) are not ready to return, while no comeback date has been put on teenage midfielder Will Hughes (groin).