Ranieri was appointed as Nigel Pearson's shock replacement just last month and has barely had time to bring in his own players to start shaping his squad.
The Hammers started the season in emphatic style with a 2-0 win over title hopefuls Arsenal at the Emirates with Bilic's new signings and high-pressing counter attacking philosophy on full view.
The east Londoners face a different test in the shape of in-form Leicester this weekend, who won 4-2 against Sunderland to start this season as they finished last.
But speaking in his pre-match press conference, as reported by West Ham's official website, Bilic has played down talk Ranieri's reputation will change his own approach.
"That (Ranieri's famous tinkering) isn’t going to change the way they are playing," Bilic told the assembled media as reported on whufc.com.
"They can change 10%, he can change the formations, he can tell them to wait a little bit or press us even higher than they did against Sunderland.
"But he cannot change the DNA of the players; he cannot change their qualities or weakness, no matter how much he thinks.”
Famous last words?
West Ham have a long standing reputation of beating the so-called "bigger teams" and then going on to lose against supposedly inferior sides.
They face that exact scenario at Upton Park this weekend if they lose to the visitors.
So Bilic will be hoping his bullish pre-match words towards Ranieri, a coach he also admitted he had a great respect for, do not come back to haunt him.
Ranieri has a longstanding reputation for changing his teams and formations and earned himself the nickname the 'Tinkerman' from his time at Chelsea.
But even he would be foolish to start pulling apart the on fire Foxes at the risk of ruining their winning team chemistry.
West Ham vs Leicester City overall record
Leicester are up against it if the history books are anything to go by.
In 123 meetings between the two clubs, the Hammers have won 51 to Leicester's 43 with 29 draws.
More crucially, though, Leicester have only beaten the Hammers once in their last eight meetings, which came back in April when the Foxes beat Allardyce's West Ham 2-1.