Poke would have missed the visit of the Bees to Plainmoor on Saturday with a rib muscle injury but the match was postponed before kick off after heavy rain.
That extra recovery time means there is a chance the former Southampton man could come back into the starting line-up.
Former Exeter keeper Martin Rice, who had been deputising for Poke, picked up a slight knock in the 1-0 loss at Gillingham while winger Danny Stevens (groin) and midfielder Craig Easton (calf) are close to returning to first-team action.
Knill will be without winger Jordan Chapell after he returned to parent club Sheffield United on Thursday following the departure of Blades boss Danny Wilson.
- Sports & Recreation