The Spaniard has enjoyed a stellar campaign under Jose Mourinho with Manchester United this season and recently won the Player of the Year award.
And his performances have seen him linked with a move to Barca.
Ernesto Valverde, who is set to be named as the new Barca boss after their Copa del Rey final clash with Alaves on Saturday, is keen to bring him to the Nou Camp.
Spanish publication Sport claim the former Athletic Bilbao boss is a big admirer of the midfielder and believes he can make a difference at Barca.
Manchester United star Ander Herrera is wanted by Barcelona
Herrera worked under Valverde during his time at Bilbao before joining Manchester United in 2014.
Valverde was angry he had to sell his star player to the Red Devils back then but is now keen on a reunion.
The 53-year-old believes a move would be possible with Herrera yet to sign a new deal with United.
Herrera's current contract with the Old Trafford runs out at the end of next season.
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Ernesto Valverde worked with Ander Herrera at Athletic Bilbao
Sport claim Mourinho has told United's hierarchy to sanction a new deal for the 27-year-old as he fears losing him to Barca.
It remains unclear whether Herrera would consider a move to the La Liga giants.
Many expect Herrera to be named the new United captain should Wayne Rooney leave the club this summer and the midfielder knows he could continue to be a key part of United's success under Mourinho for the foreseeable future.
Following United's 2-0 win over Ajax last night, Herrera also has Champions League football to compete in next season if he decides to stay.