The duo were both in action for the Bhoys at Norwich on Tuesday night for Adam Drury's testimonial, which the hosts won 2-0 against a mixed side.
Celtic have opened talks over an improved contract for Hooper, the 24-year-old Englishman, who hit 29 goals last season, while Lennon is also keen to retain the services of Forster, who has continued to impress on loan from Newcastle.
"His agent is in tomorrow [Wednesday], so we are hoping we can move things on pretty quick," said Lennon. "We have been delighted with him in the two years he has been here and are hoping we can bed him down for another two or three after that."
Hooper has scored 29 goals this season, and is set to be rewarded with a new deal to try to fend off predators from south of the border.
"Gary is one of our best players, and quite rightly so, he will be looking to get a wage increase, and we don't have a problem with that," said Lennon.
Celtic are also on the trail of Norwegian midfielder Markus Henriksen from Rosenborg.
"We have not made any contact with the club yet, but he is a player we admire," said Lennon. "We have got a bit of work to do with trimming the squad before we can possibly even think about bringing players in, but we have targets for three or four positions.
"We do like the player, but I do not know if we will be able to get a bid going in the next few days or not."
Norwich manager Paul Lambert refused to be drawn on speculation over the future of captain Grant Holt and himself after the game.