The Hoops' dreams of a domestic treble came to a surprising end with their 3-2 defeat by the Paisley men but the champions recovered in midweek with a 4-1 thumping of Kilmarnock to take them 15 points clear of Inverness at the top of the Clydesdale Bank Premier League.
Ahead of Sunday's William Hill Scottish Cup fifth-round tie against Raith Rovers at Stark's Park, the Celtic boss is confident that his side will be up for the game against the Irn-Bru First Division side after being once bitten by the Buddies.
"I'd like to think so," said Lennon. "We have a really tough game and we will treat it with respect and try to progress in that competition.
"I am not going to dwell on last week, it was disappointing but there was a great reaction on Wednesday so hopefully we are up and running again. It is a different challenge and a different competition, so we have to get our mindset right and try to get a foothold in the game pretty quickly."
The two sides met at Celtic Park in the third-round of the Scottish Communities League Cup in September when striker Gary Hooper grabbed four goals in a 4-1 home win.
Lennon, though, will not read too much into that scoreline as he prepares for the cramped conditions at Stark's Park.
The former Celtic skipper said: "It was a good game actually, it was pretty open for a long period.
"They equalised but as the game went on we gradually got better and we got a good result and Gary got four goals which was a tremendous effort on his part.
"But this will be a different environment. It is a smaller ground and it will be packed and I'm sure it will be a great atmosphere and I'm pretty sure the Raith fans will be pretty vociferous. So we need to be ready for that and match whatever they throw at us."