But fellow left-back Conor Townsend will miss the game, with the defender still not able to train due to a nerve problem in his back.
Gibbs, who had an ankle injury, returned to training before last Saturday's 1-1 draw Fulham. But he took a knock in a training match held on Wednesday
And Bilic is keen to assess him in training before deciding if he will be involved against Huddersfield on Sunday.
"Conor is definitely out," the boss said.
"He should start training with us next week. It’s nothing serious, it’s a nerve in his back.
"With Kieran, he started training the day before Fulham. He had a slight knock in the game we played the day before yesterday. We will assess him."
Ahmed Hegazi also featured in the training match on Wednesday as he closes in on a first-team return following ankle surgery.
But while Bilic is delighted to have the defender back involved, he said he will only return to the first-team when he is ready.
"It (Hegazi's return) depends on the medical team," the head coach continued.
"He was until a few days ago totally with the medical team.
"The guys who are between the medical team for fitness, and now it’s a combination - we need to listen to them, they know it’s going to be as soon as possible.
"If the under-23s are playing two games in one week, he isn’t going to play both of them of course.
"Although we want him all back as soon as possible, we won’t do anything stupid that might jeopardise his recovery.
"I don’t want to be negative – everything with Ahmed is good and ahead of the schedule. But we can’t make a wrong move."