The Upton Park boss have watched both of the Championship winners’ matches against Aston Villa and Liverpool, each of which they lost 1-0.
Bournemouth’s more recent loss was particularly frustrating for them given they were only beaten by a controversial Christian Benteke goal before the break after starting brightly.
West Ham, on the other hand, got off the mark in spectacular fashion as they won 2-0 at Arsenal on the opening day before a 2-1 home defeat to Leicester last week.
Although Bournemouth are still waiting for their first points, Bilic is adamant that doesn’t mean they won’t test his side.
The Croatian said: “I watched both games and of course you can say they deserved something from each one of them.
“They weren’t second best in the first game against Villa and at Anfield the game was very even.
“Okay, Liverpool had better chances, they scored a goal, they hit the bar, had a couple of blocked shots, but in open play it was Bournemouth for me. They were a bit unlucky.
“I expect a very dynamic game. I expect a physical game but also, on the other hand, I saw the way they are passing the ball. Their first idea is always to pass the ball.
“They play good football. They are mixing it, but every time they get a chance to pass they pass it. It’s a very good team.”