The Irish right-back was one of the Premier League’s standout performers in his position last term, helping the Toffees to an impressive fifth place finish.
Interest in his services has been strong in recent months on the back of his displays, with both United and Arsenal rumoured to be circling.
However the 25-year-old has no intention of turning his back on the Merseysiders, and will put pen to paper on a new long-term contract.
Roberto Martinez is understood to have played a big role in persuading the offensive full-back to stay, with the Spaniard having improved the club’s performances and imposed a new playing style since David Moyes left last year.
Coleman still has four years to run on his current contract, yet Everton are keen to reward him or his improved displays.
The 23-time Republic of Ireland international moved to Goodison Park from Sligo Rovers in his homeland during 2009 in a deal worth just £60,000.