The 24-year-old is yet to sign a new contract at the Scottish Premier League champions after scoring 12 goals in all competitions this season.
Hooper, who joined Celtic from Scunthorpe in 2010, has been linked with a move to England in recent months, but Lennon is confident the striker will stay at Parkhead.
“I think we can get an agreement pretty soon,” Lennon told the Daily Record.
“I speak to Gary once a week on it and he’s comfortable with it. I hope to see (Celtic chief executive) Peter Lawwell in the next day or so and he’ll come up with a solution. I certainly don’t think we’re far away.”
Celtic reached the Champions League knockout stage for the first time since 2007, courtesy of a 2-1 victory over Spartak Moscow last week.
And Lennon would like to bolster his ranks ahead of a last-16 tie, although the Hoops manager is content with his current options at the club.
“I’d like to add to the squad,” he added.
“To strengthen the left-hand side in the full-back or wide area. But if I don’t, I’m pretty happy with what I have.”
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