Lennon was a Celtic player when the teams last met, in the 2001-02 group stages, in dramatic circumstances. Celtic came from two goals down in Turin, thanks to strikes from Stiliyan Petrov and Henrik Larsson, only to lose 3-2 after Nicola Amoruso dived to win a dubious late penalty, which saw manager Martin O'Neill sent to the stand for his protests.
Celtic, inspired by Slovakian playmaker Lubo Moravcik, gained revenge with a 4-3 victory at Parkhead with Chris Sutton hitting a double, but it was not enough to see them into the last 16. Lennon would settle for similar controversy and action when the teams lock horns next year - if there is a different outcome - and he said: "I remember them very vividly."
He added: "The game in Turin was our first game under Martin in the Champions League proper. We didn't play well in the first half and were 2-0 down to two Trezeguet goals.
"The second half we played brilliantly and got it back to 2-2 and looked easily like we were going to go and win it or at least get a point, and then we got done by a shocking, as Martin put it, and it was shocking, penalty decision.
"And that really set the tone for away performances in the Champions League for quite a while. The 4-3 game was probably one of the highlights of my career. A packed house, Del Piero, Trezeguet, Nedved, in the all-black outfit. They looked the part.
"Didier Agathe playing fantastically well, Lubo on fire, Sutty and Henrik up front, 4-3, just one of the great European nights. I hope we get two more exactly the same - goals, controversy, action. And I hope it goes our way."
Lennon had previously admitted he wanted to avoid Borussia Dortmund and Manchester United in the draw but he sees little difference in quality between those two teams and Antonio Conte's side, who helped knock out holders Chelsea. Juve went through last season unbeaten in Serie A and currently sit seven points clear.
"They topped the group with Chelsea," Lennon said.
"They beat Chelsea 3-0 and not many teams do that. I don't know how long they went unbeaten in the league. I know they didn't have the manager with them for quite a while but he is back now. He has done a wonderful job there."