The Hammers were emphatic 3-0 winners over West Bromwich Albion last time out, a result which leaves them very much in the hunt for Champions League football with three games to go.
The club narrowly missed out on a trip to Wembley after being held by a late goal against Manchester United at Old Trafford before losing 2-1 in the replay at Upton Park.
The East Londoners have now officially enjoyed their best ever Premier League season, eclipsing the points total achieved when they finished fifth under Harry Redknapp with the likes of Paolo Di Canio.
Despite their success, co-owners David Gold and David Sullivan have already admitted most of their summer budget will be spent on luring a top class striker or two to help Bilic's side kick on to the next level, as reported by the likes of the Mirror.
Paris Saint-Germain superstar Zlatan Ibrahimovic has been heavily linked with a move to East London, reports the Mirror.
And here are the three world stars the Hammers should be realistically targeting in the summer window.
The diminutive Spain international continues to struggle to hold down a starting spot at Real Madrid and has been criticsed by fans and teammates for ball hogging.
Many Hammers fans are wary of the club suddenly bringing in huge names given how well their recruitment policy has served them in recent years.
And while Isco is a big name, he would not come with a media circus like an Ibrahimovic would.
The East Londoners have pursued the Italy star for the last two transfer windows but Zaza decided to try and win a regular place in the Old Lady's starting XI.
According to Calciomercato.it, Zaza is unhappy with his lack of playing time since joining the Serie A champions last summer.
And West Ham could reignite their interest in the towering striker who boasts a goal record of one in three. Like Isco there would be no media sideshow and at 24 it would represent good business for the future.
The most ambitious of the trio, a move for Rakitic would cost West Ham a pretty penny and is made more difficult by the fact the Croatian star has started to cement his place in the Barcelona side of late.
A fine all-action midfielder, West Ham will more than likely need to secure Champions League football next season if they are to lure him to the Premier League.
But the Croatian connection through his former national team manager Bilic could count in West Ham's favour should the club be given any encouragement that a bid might be successful come the summer.
The man who famously scored Germany's winning goal in the 2014 World Cup final against Argentina has been on the wane ever since.
He has played just 13 times for Bayern Munich this summer and has been linked with the likes of Liverpool where he could link up with his old manager Jurgen Klopp from their Borussia Dortmund days.
A classy attacking force and another player who would give West Ham serious hopes of challenging for top honours when they move to their 60,000 seater home.
Bilic's side are likely to finish above Liverpool and if they can secure Champions League football, there is no reason why Gotze would not be interested in a move to London.