The France international has been linked with a summer move away from St Mary’s, with Manchester United, Arsenal and Tottenham all interested in him according to widespread reports.
“The negotiations are ongoing and should be completed in the coming days,” he told France Bleu Alsace radio station. “Hopefully before the resumption of [Southampton’s pre-season] training next week.”
The 25-year-old has previously expressed a desire to play Champions League football, and Southampton legend Matt Le Tissier has said his former club are likely to lose the defensive midfielder this summer.
“It’s probably more likely that he’ll leave than stay,” Le Tissier told Sky Sports.
“We paid about £1m [to Strasbourg] for him back in 2008, so with a couple of promotions and another decent transfer fee it certainly represents another good return.
“I think Southampton have always been fair with players and not stood in their way when bigger clubs have met their valuation, which was shown last summer.”
Schneiderlin was subject to transfer speculation last summer, before helping the club to qualify for the Europa League with a seventh-placed finish in last season’s Premier League.