The France defender is weighing up offers from Italian giants Juventus and Inter but his new manager at Old Trafford is hoping he will extend his stay to a 10th season.
The Netherlands coach rates the left back highly and is keen to retain the Frenchman's leadership qualities in a defense - and squad - with Nemanja Vidic and Rio Ferdinand heading for the exit.
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Ultimately, the decision to remain at Old Trafford or take on a lucrative contract elsewhere will be Evra's, though.
The 33-year-old triggered a unilateral option to extend a contract worth over 6 million pound annually into a fourth season with his appearance record under the Dutchman's sacked predecessor, David Moyes.
According to a close friend of the player, Evra has yet to make a final decision on where he will play next season. However his emotional ties to United are such he is leaning towards rejecting the opportunity to return to Serie A with Juventus, and carry on in Premier League football.
Evra also remains a target of Juve's Serie A rival Inter, which has already secured the services of the Frenchman's now former Manchester United teammate Vidic.
The former Monaco defender joined Manchester United in 2006 and has enjoyed a highly successful spell in England, winning five Premier League titles and a Champions League title.