"Listen, we're not going to play the what-ifs," Shurmur told reporters Friday, via SNY's Ralph Vacchiano. "I would say this: Nothing has changed. This was the first game. I expect Daniel to play well and go out and improve."
The Giants haven't officially named veteran Eli Manning their Week 1 starter, but reports before training camp suggested they would go that route.
Manning completed the only pass he threw against the New York Jets on Thursday, before Jones relieved him and hit on all five of his throws for 67 yards and a touchdown to Bennie Fowler through tight coverage.
The Giants said they'd planned to get Jones another 8-10 snaps but decided to keep him on the sidelines following a weather delay.
New York was widely criticized for drafting Jones sixth overall this year, but the rookie was the talk of the league - and the Big Apple - on Thursday night.
After the game, Shurmur advised fans clamoring for Jones to supplant Manning to "Slow your roll," according to Kimberley Jones of NFL Network.