Bryson is nursing a stiff knee following his return to action against Nottingham Forest last weekend.
The midfielder had been out for four matches with a knee problem and in the build-up to the east midlands derby, Rams boss Nigel Clough admitted the Scot needed a little more time to fully recover.
However, due to the importance of the fixture - and Bryson's importance to his team - Clough rushed back the 26-year-old, who managed 75 minutes of the 1-1 draw at Pride Park before he was replaced by Michael Jacobs.
Jacobs could replace Bryson in the starting line-up against Rovers, although Ben Davies is also an option for the fourth-round tie.
Clough, who will select from an unchanged squad, also has defenders Kieron Freeman and James O'Connor and forwards Theo Robinson and Mason Bennett available should he wish to make further changes to his team.