The Saints are keen to hold onto the last of their England international forwards, who scored 15 goals in the Premier League last term before suffering a cruciate ligament injury
Southampton forward Jay Rodriguez has been offered a new five-year contract, Goal understands.
The 24-year-old, who joined the club from Burnley for £7 million in 2012, was in fine form last season, scoring 15 Premier League goals and breaking into the England set-up before rupturing his anterior cruciate ligament in April.
With fellow forwards Rickie Lambert and Adam Lallana having both already been sold to Liverpool this summer, reports have suggested that former ex-Saints boss Mauricio Pochettino wants to bring the striker with him to Tottenham this summer.
But the south-coast club are keen to head off such a possibility and tie Rodriguez to St Mary's Stadium, where he would line up alongside new signings Dusan Tadic and Graziano Pelle next term.
Rodriguez is currently in Belgium with the Southampton squad for their pre-season tour while continuing his recovery from his injury, which kept him out of the Three Lions team who crashed out of the World Cup at the group stage.
He made his debut for Roy Hodgson's side in a friendly defeat by Chile at Wembley in November.