A total of 12 goals in all competitions so far this season has led to speculation linking Hooper with a move south of the border.
The Bhoys boss laughed off talk earlier in the season that the 24-year-old, who joined Celtic in 2010, was set to leave for Liverpool.
Hooper moved to Parkhead from Scunthorpe, whose former boss Nigel Adkins is said to be interested in teaming up with the Englishman at Southampton.
"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."
Lennon also admitted he would be comfortable if he did not bring in any new faces in the January transfer window.
"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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