The midfielder has enjoyed his best season at Old Trafford, being voted the club's Player of the Year.
Having struggled to nail down a permanent role under Louis van Gaal, Herrera has become an important player for Jose Mourinho.
And while the boss intends to bolster his ranks in the middle this summer, the 27-year-old appears up for the challenge.
Reports in his homeland of Spain from newspaper Sport have claimed Herrera will be the top target of incoming manager Ernesto Valverde at Barcelona.
The two worked together at Athletic Bilbao, where Valverde was annoyed to lose his star man to United in 2014.
Ander Herrera wants to stay at Manchester United rather than join Barcelona
Herrera is set to snub a move to Barcelona and extend his United deal instead
Despite a reunion being targeted, Herrera is set to snub a move to Barcelona and extend his United deal instead, according to the Daily Mail.
It is said the Red Devils plan to hold talks with the Spaniard over his contract and he is keen to sign on.
He apparently recognises Mourinho will look to add midfielders in the transfer window, providing him more competition for a place.
Barcelona line-up next season with Ander Herrera Thu, May 25, 2017
Click to reveal a possible Barcelona line-up for next season if they sign Ander Herrera
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And the two on United's agenda are claimed to be Chelsea star Nemanja Matic, who Mourinho has worked with before, and Monaco's Tiemoue Bakayoko.
However, the Daily Mail add Herrera accepts their possible inclusion to the squad and harder work for himself is all part of being a United player.
He is said to be flattered by Barcelona's interest, but following United's Europa League triumph last night and return to Champions League football, Herrera is preparing to kick on next season.