The 20-year-old right-back has also attracted interest from Sunderland but the Championship club are holding out for a fee in the region of £10m
Southampton have had a £5 million bid for right-back Sam Byram rejected by Leeds United, Goal understands.
The 20-year-old has already cemented his place in the Championship club’s first team and was set to be included in England’s Under-20 World Cup squad last summer before being forced to pull out with a hip injury.
Sunderland have also submitted an offer for Byram but Leeds are holding out for a fee in the region of £10m.
Southampton manager Ronald Koeman is keen to strengthen his defensive options ahead of his side’s opening Premier League fixture against Liverpool on August 17 and views Byram as a viable competitor to Nathaniel Clyne for the right-back spot.
Leeds sold their former captain Ross McCormack to Fulham in an £11m deal earlier this summer but have signed six new players, including Gaetano Berardi, who is competing with Byram for a place at right-back.