The manager has admitted his worry after seeing his new signing limp out of his side's 1-0 pre-season victory at Celtic with an ankle injury
Despite Grant Holt grabbing the headlines with a late winner at Parkhead, it was new signing Whittaker that occupied much of the Canaries boss' post-match comments.
Former Rangers man Whittaker would have been desperately disappointed limping off against his previous club's Old Firm rivals and even more so after settling in well at Carrow Road in his early appearances.
"We will find out over the next couple of days," Hughton told reporters. "What he has done is roll his ankle.
"We are hoping it is not going to be too bad but generally with these things, you don't know until the next couple of days to you see how it settles down.
"But we are hoping he is not going to be too bad."
Hughton added: "He has settled in really well and it would be a blow, whether it is Steven or anyone at this stage to be without them for whatever period."
The ex-Birmingham City manager also spoke of his desire to secure the signing of Leeds captain Robert Snodgrass but conceded not much progress has been made since having a bid rejected last week.
"We did put a bid in for him a week or so ago and that is where we are at," said Hughton.
"He is a player we would like, hence the reason we made the bid, but of course he is a Leeds United player and until we are told otherwise that will be the case."
Overall Hughton was very much pleased with the side's victory in Scotland but admitted improving fitness is more important than friendly results during pre-season.He continued: "It was an enjoyable game and it is always good to get a win but it is more about the workout.
"We were able to change our team at half-time, we had some good periods in the first half but we knew we would be up against it against it for a good period of the game because they are in front of us in pre-season, they play a Champions League game next week.
"We had to defend well which we did and we kept going. We are really delighted with the win."