After missing last weekend's Capital One Cup victory at Notts County with slight injuries, both Jones and Davies returned to training this week to put themselves in contention for the Gillingham fixture.
Despite being back in the mix for starting berths, Jones and Davies are not guaranteed to walk straight into Parkinson's starting eleven at the Priestfield Stadium given City's showing at County.
And as Parkinson revealed this Thursday ahead of his side's trip to Kent, the fit-again duo are not the only ones pushing for recalls.
"Both (Andrew Davies and Ritchie Jones) returned to training this week. Ritchie on Tuesday and Andrew today (Thursday)," said Parkinson.
"While we were keen to give the cup tie at Notts County our full focus, we always said that the league was our priority.
"Both Ritchie and Andrew were just kept back last week with that in mind.
"With those two back in training, we now need to sit down and look out our options ahead of Saturday.
"There will be players who came into the side at Notts County that will be looking to stay in and they'll be players who didn't start who will be thinking about pushing themselves in.
"There are some decisions for us to make. Myself and Steve (Parkin) will sit down today (Thursday) and Friday and make a decision then."