Andy Carroll could miss up to two months' worth of action, after picking up an injury during West Ham United's 3-1 win over Bournemouth.
West Ham have a lack of forwards available to them with both Carroll and Diafra Sakho set for lengthy spells on the treatment table.
However, Bilic claims that he is confident that he has enough cover in his squad already, and the Hammers will only move to bring in a new face if he is of exceptional quality.
“Not big time, no," Bilic said, when asked whether his transfer plans had changed after Carroll's injury.
"We are working in the transfer window, but that started before the injury. We are well covered quantity wise, so only if something good comes up then we’ll act. We don’t need the numbers, and I think that is right.
"Our players who haven’t featured much have done well when they have played, they started our unbeaten run, I want to give them credit and I believe in them.”
Nikica Jelavic is likely to become West Ham’s main attacker in the coming weeks, with so many players out injured.
Jelavic has endured a difficult start to life at Upton Park, but he did score Bilic’s side’s winner in their FA Cup match against Wolverhampton Wanderers last weekend.
In terms of incoming additions, West Ham have been linked with a host of players already, despite their insistence that they will not be doing much business.
The Hammers are reportedly most interested in Juventus’ Simone Zaza, according to the London Evening Standard, but they are yet to make a move for the striker.