Spain international will be out of contract at Manchester United next summer and he been lined up for a return to former club Athletic Bilbao.
The 29-year-old is yet to agree new terms at Old Trafford and Sportsmail claim the offer has fallen short of his expectations.
Now the midfielder will be weighing his options during the January transfer window if an improvement is not made.
The Spaniard has been laid back with injury problems despite been a key figure in Jose Mourinho's team.
However, Herrera will be looking to fight for Nemanja Matic and Marouane Fellaini's place in the starting line up after the international break.
His former club Bilbao, tried to sign him during the summer and are prepared to make him the highest player if he chooses to make a switch in January.
Herrera was signed for £29million when he joined from Athletic to Manchester in 2014. He has had interest from top European clubs including Barcelona, Atletico Madrid and AC Milan recently.
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