Hearts boss John McGlynn wants his players to take inspiration from their performances against Liverpool when they travel to Celtic on Sunday.
Hearts face a Celtic side on a high following their 3-2 victory over Spartak Moscow - the club's first away win in the Champions League proper.
Lennon's side deposed Motherwell at the top of the SPL days earlier with a comprehensive 2-0 win at Fir Park and the feel-good factor at Parkhead has been further boosted by goalkeeper Fraser Forster's England call-up.
Hearts could barely face Celtic at a more difficult moment but McGlynn takes encouragement from their high-profile performances against Liverpool, when they lost 2-1 on aggregate in the Europa League, and their recent 3-0 win at Dundee United.
And the Tynecastle manager feels there is no reason why his players cannot raise their game again and cause the same shock that Celtic did in Russia.
"Obviously it's going to lift their confidence," McGlynn said. "It was a great victory.
"First of all, congratulations to Neil Lennon and his players on a big, big victory.
"It was a massive victory and it could go a long way to getting them into the next stage.
"It was always going to be a difficult game for us anyway, no matter what.
"We just have got to make things very difficult for them.
"We had a similar scenario building up to the Liverpool game. We will treat it like we did playing Liverpool, that's exactly how we want to play."
McGlynn, whose side took the lead at Anfield before a late goal sent them out, added: "Football is crazy really.
"We'll be in the same situation as Celtic were going to Moscow. Would you have fancied them? Would you fancy us?
"It's the same scenario. It's a two-horse race - win, lose or draw.
"It's an occasion for the players to lift themselves on the bigger stage. We seem to do that and hopefully we can do that on Saturday.
"We have lifted ourselves for occasions like Liverpool and at Tannadice, going up there we had not won there for three years. We have got it in us."
While Celtic are in the best of spirits, Hearts are aiming to bounce back from their 3-1 home defeat by Kilmarnock.
McGlynn has previously watched his side let slip a two-goal lead against Inverness and lose to bottom club Dundee at Tynecastle.
But he said: "I repeat I think we have been very, very unfortunate in our home games.
"I think we should have had maximum points.
"We haven't been playing badly. I think we can cause Celtic problems but we have to go there and do that."
