There is "no chance whatsoever" of Suso joining Inter, according to AC Milan's sporting director Massimiliano Mirabelli.
The Spanish forward has become one of Milan's stars in recent years after departing Liverpool and finding his footing in Serie A.
A six-goal, one assist campaign season in 2015-16 for Genoa has been followed up by Suso tallying 13 goals and 16 assists for the Rossoneri over the past two campaigns.
His six goals and seven assists this season contributed to the team's success, but Milan failed to challenge for a Champions League place after spending heavily, finishing sixth in Serie A.