West Ham's Andy Carroll
The former Croatia manager will also have the Europa League to contend with should they come through a qualifying play-off against Romanian champions FC Astra - who knocked the Hammers out the competition last season.
West Hams' Sofiane Feghouli and Andy Carroll celebrate after a goal
Hammers have made astute signings
West Ham got Norweigan midfielder Havard Nordveit, Algerian attacker Sofiane Feghouli, former Manchester United youngster Ashley Fletcher and Besiktas winger Gokhan Tore signed up early on this summer.
Bilic sent back loan players Victor Moses, Emmanuel Emenike and Alex Song to their respective clubs while homegrown Hammer James Tomkins was sold to Crystal Palace for £10 million.
While the rumour mill continues to whir, Hammers co-owners David Sullivan and David Gold have both suggested the club's business is done this summer - Sullivan in an interview with Claret and Hugh and Gold on the official website.
Carroll himself has been linked with a move to Crystal Palace in recent days - as reported by the likes of the Express.
West Ham manager Slaven Bilic
But speaking to the club's official website last week the big striker said he felt Bilic only needed two more signings before the Hammers added forward Andre Ayew for a club record £20.5 million, left-back Arthur Masuaku and Argentinian striker Jonathan Calleri.
“We’ve got a good squad," Carroll told whufc.com.
"The manager has done well in the transfer window and he has probably got a couple more signings to make to make us complete.
“We’ve bonded pretty well over pre-season.
"Our dressing room is very good at welcoming new people in and I think we’re all relishing the start of the Premier League season now.”
Andre Ayew is injured already
Could club live to regret not pushing the boat out?
Ayew was typically injured just half an hour into his debut in the season opening defeat to Chelsea. But with Carroll threatening to be fitter than ever and Manuel Lanzini closer to a comeback West Ham's squad suddenly looks deep and strong.
Without Ayew, though, West Ham could look decidedly one-dimensional with Carroll up front on his own should Calleri struggle to adapt.
And the East Londoners could well regret not pushing the boat out for a marquee striker come the winter.
Of course there are still over two weeks until the window slams shut and it could all be smoke and mirrors from the club's owners so Hammers fans must wait and see what September brings.