The 25-year-old is currently involved in negotiations with Saints over his future and the club is expected to allow him to leave for a fee no less than £25million.
The France international, who was the subject of intense transfer speculation last summer, is one of the most coveted central midfielders this summer.
It is believed Tottenham have had a long-term interest but Schneiderlin has previously stated he will only move from Southampton to play Champions League football, and Arsenal are another club that English newspapers have reported as interested.
Schneiderlin is purported to have told French radio earlier this week: “The negotiations are ongoing and should be completed in the coming days. Hopefully before the resumption of [Southampton’s pre-season] training next week.”
He signed from Strasborg for £1.2million in 2008 when Saints were a Championship club and was instrumental in their rise up the divisions from League One to the Premier League.
He has made over 250 appearances for the club, scoring 15 goals, and thrived in the Premier League.
Schneiderlin made his senior international debut for France last year and picked up nine caps since. He has represented his country at every level from U16 to U21.