Goalkeeper Chris Lewington (back) and striker Josh Scott (neck) came through last weekend's defeat to Aldershot unscathed and are expected to keep their places in Burnett's starting XI.
Stopper Jordan Seabright could deputise if Lewington is not fit to take part.
Forward Jake Reed was taken off in the second half of Saturday's clash but he is expected to feature against York.
Striker Sam Williams remains out as he continues his recovery from last month's knee operation.
The Daggers, who sit just one point above the drop zone, are still searching for their first home win since Burnett took charge at the end of February.