England gave their World Cup qualification hopes a much-needed shot in the arm on Friday night when they beat Moldova 4-0 to move top of Group H with just three games left.
Lampard was, as he has been for much of the last 14 years, key to England's victory. The 35-year-old put in a fluent performance alongside Jack Wilshere and Steven Gerrard in midfield, supplying the latter with an assist for the hosts' opening goal.
Lampard will become the eighth England player to reach 100 caps on Tuesday when England play in Kiev and Cahill wants to mark the occasion with a victory that will move them three points clear at the top of the group.
"It's great for Frank," the Chelsea defender said. "I hope for him that he gets the 100th cap on Tuesday and I hope that we get the win as well so it will be a good night.
"It's fantastic to think what he has achieved in his international career."
While Roy Hodgson will praise Lampard for his contribution to the England fold in the run-up to the game, the England boss also knows his side must not lose focus on the task in hand.
Tuesday's game in Ukraine is simply massive for England. Win, and they will be within touching distance of Rio, but lose and they face the prospect of a tricky November qualifier - or even worse, they may not qualify at all.
Even though Montenegro's 1-1 draw against Poland left England in a strong position, Cahill is aware that the team will be back to square one if they lose at the Olympic Stadium.
"It's nice that we got a clean sheet and a convincing win, but it doesn't change the job that we have got to do," the Chelsea defender said.
"Even though Montenegro drew we still know what is ahead of us."
After playing alongside Phil Jagielka for the last four games at centre-back, Cahill is expected to start Tuesday's game.
Cahill did not play in Ukraine last summer as he missed out on Euro 2012 with a broken jaw, but he has travelled with the England team to the former Soviet Republic before.
That came four years ago when he was in the squad for the 1-0 defeat in Dnepropetrovsk, where play had to be stopped temporarily after the home fans threw flares on to the pitch behind Robert Green's goal.
If that experience was anything to go by, then the 27-year-old is expecting a tough night.
"I remember it being a hostile atmosphere," Cahill said.
"It was a difficult place to go, so I think it will be a tough test.
"We lost 1-0 that night. Andriy Shevchenko played. They made it a tough night for us and that is what it's like when you go away to places like that so it's going to be a tough test for us on Tuesday."