New Ipswich boss Roy Keane is keen on signing the 30-year-old.
“This is where I have been happiest. I really enjoyed last season,” Higginbotham told The Sentinel.
“These reports are pie in the sky and, besides, I don’t see any reason why I would want to move.
“I played 30 games last season in the best league in the world, and we finished 12th. Now I want to be part of the club’s success for the next few years.”