The Scottish champions secured their passage to the Europa League last 32 thanks to Olivier Ntcham's stunning stoppage-time victor in Rome.
Neil's Lennon side came into tonight's 2-1 win at Lazio knowing a win could send them into the last-32.
All the qualified teams are through with two games to spare.
Manchester United can qualify with a win against Partizan Belgrade at Old Trafford later on Thursday, while Roma visit German Bundesliga leaders Borussia Moenchengladbach.
Former Barcelona winger Munir El Haddadi starred with a hat-trick as Sevilla thrashed Dudelange 5-2 to also reach the knockout rounds.
Marcus Rashford also fired home a fine goal in the 49th minute to complete a 3-0 victory in Group L.
Man arrested in connection with disappearance of UFC fighter’s stepdaughter
She is always in contact with her family, he says, so when her brother couldn't reach her the next day, the family called police. His jail booking photo shows him with a swollen left eye, but no further details were released about his apparent injuries.
Well, well, well... After a week of apparent confidence from the Italian media ahead of the Lazio-Celtic clash in the Europa League, things have gone rather quiet on Friday.
With just three points from its opening three games, Lazio needed a win to have any realistic hopes of progressing.
It was Celtic's first win in Italy in 13 attempts and kept them top of their section with a guarantee of European football after Christmas.
There were wins too for Basel, Krasnodar, Sporting Lisbon and Austrian side LASK Linz.
The goal also clinched a remarkable double over the Serie A side and Lennon said: "I am so happy and proud of the team".
Rangers scored twice in four second-half minutes through Alfredo Morelos and Steven Davis to beat Porto 2-0 at Ibrox in Group G, where they are in second place but level on seven points with Swiss champions Young Boys.
The penultimate round of group games will be played on Nov 28.