Herrera joined United from Athletic Bilbao in 2014, and has made 161 appearances in all competitions for the Red Devils over the last four campaigns.
The 29-year-old will see his current deal expire next summer, but despite being linked with a return to Spain, Herrera has hinted that he will stay with United beyond the end of the 2018-19 campaign.
"All the memories I have are amazing. I have been able to win trophies for the club, I have been able to play more than 160 games right now, so what I have in my mind is to go for the 200 games and keep adding games for the club and for myself," Herrera told Inside United.
"The way the club treats me is perfect, the love the fans show for me couldn't be better or bigger, my family is happy in Manchester, so I just try to give everything and put all my strength and effort to keep deserving to play for this club."
Herrera scored twice in 39 appearances for United during the 2017-18 season.