Hooper's Parkhead future was the subject of intense speculation during last month's transfer window with Norwich having four bids rejected for the former Scunthorpe man.
The 24-year-old, who has 18 months to run on his current contract, has yet to sign a new deal on offer from Celtic.
The contract offer remains on the table and Lennon has urged Hooper to put pen-to-paper and extend his stay in Glasgow.
"I will need to speak to Peter Lawwell about it but the contract is still there," Lennon told the Daily Record.
"My advice to Gary would be to sign it. Whether he wanted to go now or in the summer.
"If the money is there in front of you from Celtic then take it.
"We had a chat with Gary in Marbella and he said: 'Look, I want to stay'. We will look at his position in the summer.
"I don't want to stop his progression, but we feel he has still got a lot to offer here before he moves on."
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