The Croat shares his view on the race to reach Europe's elite competition.
Rubbing shoulders with Europe's elite remains a viable target for the Hammers next season, with Bilic's men fifth in the Premier League table, two points behind fourth-placed Manchester City with nine matches to go.
They do, however, face a stern test of their top-four credentials on Saturday when they visit Chelsea, who have looked resurgent under Guus Hiddink since Jose Mourinho's sacking in December.
This is very much uncharted territory for the Irons, who were plying their trade in the Championship as recently as 2012, and Bilic, who replaced Sam Allardyce last summer, says their lofty league position is merely a bonus.
“We are not talking about it, we are just approaching it. We don’t put the Premier League table in our canteen or restaurant – what if they win, what if they draw, what if this," he told a news conference, as quoted by The Guardian.
"It is routine business, we are training, we have a game on Saturday and after that we have the international break. The problem would be if we are down – 16th, 17th, 18th, 19th – they are thinking about it.
"That is the chip on the shoulder, that is the pressure, that is the burden. This is a bonus, this is great.”
It would be quite something if Leicester - five points clear at the summit - won the Premier League title and West Ham finished in the top four.
But there is plenty of twists and turns left in the campaign, plenty of heartache to come, but with the way they are playing, it is ever so hard to back against Bilic and co at the moment.