"I think it's too early to start connecting me with Chelsea," Clarke, who spent nearly 20 years with the club as both a player and coach, told reporters. "There are a lot of managers that are out there who have a better case than me.
"I'm not even a year into the job here. Up to now it has been a great season and I haven't looked anywhere beyond that."
West Brom make the trip to Chelsea in the Premier League on Saturday.