The Hammers will host the Blues at the London Stadium in the round of 16 tie on Wednesday night.
Bilic’s side, following a disastrous start to the season, have won back-to-back games in the Premier League to solidify their situation, but right now, their focus is on progressing in the League Cup.
“It’s massive to have these six points, especially when you get them like this at the end of the game. It gives you an unbelievable boost,” Bilic said.
“This cup is very interesting for us. Chelsea are playing, and are out of this small crisis, if you can call it a crisis, and this derby is going to be a very competitive game.
“All I want to say is that we are dreaming about going very, very far in the cup.”