The Belgium worldwide is likely to end his time at Old Trafford, after having rejected several new contract offers.
Manchester United boss Jose Mourinho is a huge fan of the player, and the Portuguese manager made multiple attempts to keep hold of him throughout the season.
The ex-Everton and Standard Liege man wants £120,000-a-week plus a signing-on fee and Arsenal feel they can not justify that pay packet.
Per Sport Witness, Fellaini will become a free agent on June 30.
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The Belgian is available on a free transfer at the end of his month when his United contract expires, and there has been little evidence thus far that the Old Trafford club will look to offer Fellaini a new deal.
AC Milan have already pulled out of the running to sign Fellaini due to having similar concerns. While United want to sign him to a new contract―manager Jose Mourinho is a fan of the Belgian―the former Everton man has chose to keep his options open as he wants to be a regular starter.
Fellaini has been something of a polarising figure since his arrival at United in the summer of 2013, with his critics suggesting his importance to the club in the last five years has symbolised their decline in standards since the retirement of Ferguson. Since moving to the Old Trafford, Fellaini has gone on to amass 156 appearances, scoring 20 goals and registering 10 assists.