Lennon, 40, told reporters that it is not a realistic ambition in the next couple of years but is a target he can achieve in the future, possibly at Celtic.
"Here or anywhere, that's my ambition," he said. "I never reached those heights as a player and I may not reach those heights as a manager - but that's what I'm aiming for.
"You must keep a vision within your head and try to do everything you can to achieve it. Is it possible to win it here? Yes, definitely."
"I'm not the oracle - I don't have all the answers. But every now and again the Champions League does throw up a surprise package."
The Glasgow club were crowned Scottish champions after winning at Kilmarnock last week.