The Hammers boss insists their poor recent record does not worry him ahead of Saturday's clash.
The Hammers host the Blues at Upton Park on Saturday afternoon in the Premier League, but have not enjoyed the best of records against them in the last decade.
They are winless in 14 league games against Roberto Martinez’s side, with their last victory against them coming eight years ago in a 1-0 win back in April 2007.
Last season did, however, see them beat the Toffees in the FA Cup, as they managed to triumph 9-8 on penalties, but Bilic insists that he is not concerned about what has happened against them in the past.
“It’s a bit of a surprise to me but it doesn’t worry me too much because those games are in the past,” he told whufc.com.
“It shows how difficult Saturday’s game. It will only affect us if we allow it to, if we think about it too much then it might have an impact on confidence, but we should be able to deal with that.”
Bilic also admitted that the game will be somewhat special for him as he takes on one of his former sides.
Much was made of the Croatian’s history with West Ham when he was confirmed as the club’s replacement for Sam Allardyce in the summer, with many suggesting it made him perfect for the role.
He also has history with Everton, though, having swapped Upton Park for Goodison Park back in 1997, and he says he is looking forward to the clash.
“Yes, on one hand yes, on the other no,” he answered when asked if the contest will be special for him.
“Every game is special for different reasons. Everton are a great side, big club with good players. It’s a great test for us and I am looking forward to it, definitely yes."