The Gunners beat the Bavarians at the Allianz Arena in 2012-13 and briefly threatened a comeback on Tuesday night, though Pep Guardiola's men held on to reach the quarter-finals
Bayern lost 2-0 to Arsene Wenger's side 12 months ago but progressed on the away-goals rule on their way to winning the trophy.
They went into Wednesday's tie in a commanding position, having won the first leg 2-0 at the Emirates Stadium, and strengthened their hand further when Bastian Schweinsteiger put them ahead after 55 minutes but former Bayern forward Lukas Podolski equalised almost immediately and, buoyed by the goal, Arsenal poured forward, causing the hosts some nervous moments.
They were unable to breach the Bayern back line again, however, and it was Pep Guardiola's men who ought to have restored their advantage on the night only for Thomas Muller to miss a late penalty.
The 3-1 aggregate scoreline may appear comfortable but Lahm concedes that there were some flutters when Podolski scored.
Asked whether he had started to think of last season, he told Sky: "Yes, I have to admit that. The longer a match lasts the more you think about how you have to bring this over the line.
"We played a very, very good first half," the Germany international enthused. "We were in total control of the match and we allowed them not a single chance.
"You may not forget that this was a very good opponent and this is the Champions League round of 16. During the second half we made too many mistakes."
Manuel Neuer was also pleased with the Bavarians' progression to the last eight as they bid to become the first team to defend the Champions League.
The goalkeeper remarked: "Arsenal are a team that plays football at first but that are also able to get into a game and fight and you realise this could be dangerous. At about 80, 82 minutes you could see that Arsenal were not able to put us under pressure and it got a little more relaxed."