Suso has been linked with a return to the Premier League and Gennaro Gattuso feels he deserves a contract extension at AC Milan.
Former Liverpool midfielder Suso, who is said to have a €40 million (£35m/$45m) release clause in his deal at San Siro, is reportedly a target for Tottenham and Arsenal.
The 25-year-old has been a key part of Gattuso's squad this season, featuring in all but one of their 23 Serie A matches and contributing five goals and eight assists.
Editors' Picks
Suso is under contract at Milan until June 2022 but Gattuso believes he has done enough to warrant fresh terms being offered.