Englishman has been chased by United of late.
Everton are now said to be very hopeful that key left-back Leighton Baines will put pen to paper on a new deal at the end of this season in order to keep the player out of the clutches of Premier League champions Manchester United, according to reports in the Daily Express.
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The in-form England international has been tracked by the Red Devils ever since manager David Moyes left Goodison Park for Old Trafford last summer to replace Sir Alex Ferguson in the Old Trafford hot seat.
However, despite lodging bids valued at first £9m and then finally on transfer deadline day £15m for Baines, the Toffees rejected both those offers and kept hold of the 29-year-old on Merseyside instead.
And now Everton boss Roberto Martinez is understood to be very confident that the Englishman will finally end all questions about where his future lies by agreeing to extend his stray at the club beyond the end of his current contract in June 2015.
And if that were to happen, then it would all but see the defender end his playing days as an Everton player, while also at the same time end any hope whatsoever that United had of being able to lure Baines to the Theatre of Dreams next summer.