Rafael Benitez, Jaap Stam, Roberto Mancini and David Wagner are among those being touted for the role should West Ham decide to part ways with the Croatian.
But Bilic isn't listening to the background noise and is instead choosing to focus on getting back to winning ways after three straight Premier League defeats starting at Hull on Saturday.
"Nothing has changed in the last few days," he said. "What do you want me to say? There is nothing new I can say about it.
"I just concentrate on my job. I am totally focused on the next game. That (speculation) does not worry me. I am not reading it or making phone calls or whatever.
"We are in a position where we can have a good finish to the season. We have a lot of games to play and there is a lot to play for.
"I was saying the same when, for example, earlier in the season when we were talking about a new contract. I was not bothered then, when it was positive.
"Now after three defeats there is speculation. I have a game on Saturday."
He added: "That does not annoy me. There is something between being worried and annoyed.
"But my head is clear and I am totally motivated and focused.
"I've been here long enough to know what to do - over a year and a half - with an objective here and there is still a job to do and I have my contract.
"At the end of the day my contract is not running out. I have another year here."