Striker Les, 34, becomes a free agent under the terms of the Bosman ruling at the end of the season and has already been a target of Italian outfit Brescia.
Boss George described his contribution this season as ‘excellent’ and confirmed: “I would like Les to stay and the same with Sol and Darren Anderton.
“The quality players we have we need to keep and we need to add more to them not to lose them.
“Les has looked excellent this season. He has played a lot more games than a lot of people expected, myself included and I’m delighted for him. He has retained his enthusiasm which is very important in English football.”
Asked how long he though Les could go on for, George added: “It all depends on how he feels physically. I think mentally he’s okay but physically he needs to avoid injury, which is not easy these days.
“Games-wise he’s only played a quarter or the games of everyone else and it means he’s had a rest, his body has had a rest and if he can get over specific injuries the wear and tear is not so great.
“He’s probably 34 going on 32. Players can go on longer because they look after themselves off the pitch.
“He has surprised me because of his injury record. The number of games he has played has been fantastic. It’s been a big bonus because other strikers have been injured.”
Listen to George's pre-Southampton press conference in full by clicking here
George Graham heaped praise on Les Ferdinand and admitted: “I want him to stay.”