The Welshman was also one of the bookmaker's favourites to be the first manager dismissed this season, but Fulham had until recently been challenging for a place in Europe and their Premiership future is secure.
However, Coleman says he will not put pen to paper on a new three-year contract unless his assistant Steve Kean is also given a new deal.
"I made it plain that we are very much a partnership - we both come, or neither of us comes," said the Fulham manager. "I wouldn't sign a new contract as manager and say I'll have a new No2.
"Keano is an outstanding coach, excellent tactically, and results show that. He took the step up to the first team like a duck to water."