Southampton are keen to bring the Englishman to the Premier League.
Lennon said: "He's a player I like and he's done really well here.
"We'd like to tie him down for a bit longer if we could.
"He's really enjoying it here and at just 24 he's still got plenty of progress in him.
"He knows he has a big season ahead of him in terms of Europe and the domestic scene and he wants a wee taste of that again.
"We met his reps at the end of May so I'd assume talks will continue in the next few weeks."