The French midfielder has reportedly attracted interest from a number of clubs, with Arsenal rumoured to be high on a list of admirers.
However, the 24-year-old has claimed that he would never cause problems for the club's hierarchy if they elected against selling him in the future.
"We know top teams are watching us," Schneiderlin is quoted as saying by The Mirror.
"As long as we don't receive a concrete offer, and as long as the club says they won't sell, I will never force a transfer."
Schneiderlin is expected to be involved when the Saints host Everton on Saturday.