The Hammers have disappointed during the early stages of the new season with just one win in five matches leaving them in 17th position.
"Of course we have to manage him - he looks good, fit, he's training and hopefully he's going to last because that's been his problem for ages", Bilic said of Carroll, who has played two games since returning from a groin injury.
Summer signing Sead Haksabanovic could also be in line to make his first appearance for the Hammers since arriving from Swedish outfit Halmstads in a deal worth a reported £2.7million.
Goals from Angelo Ogbonna, Diafra Sakho and Arthur Masuaku ensured a second consecutive home win for Slaven Bilic's side, who are beginning to build some momentum after a terrible start to the campaign.
"I am thinking about them the most but it is hard to have them both in their natural positions", he said.
Huddersfield Town travel to London on Monday to take on a West Ham United side languishing at the foot of the Premier League table. "Second half, we slowed it down which I didn't like but I can understand it with a game in mind on Saturday".
"Chicharito is at the moment playing in a position that is not his ideal position", said Bilic. "The first three games of the season was not West Ham, but now we're progressing and getting better".
"He has that special skill with the ball and he gets the ball in good positions and has the quality. He isn't going to play tomorrow". I like him as a player but sometimes he gets happy with the few things that he does when I want him to push the borders.
"Of course, and that's why we got him".