England also have a duty to New Zealand, who are relying on Australia losing to stay in the tournament.
Kohli knows momentum can change quickly in one-day competitions, especially against a desperate Sri Lanka team looking to bounce back from defeat by South Africa in their opener.
Besides, Trent Boult (1/56) and Mitchell Santner (1/54) picked up a wicket each for New Zealand.
The hosts batted first and posted a challenging 310 on the board with the likes of Joe Root, Alex Hales and Jos Buttler scoring half centuries.
A win in their final Group A game at Edgbaston on Saturday would put their old rivals on a plane home, but if England let them off the hook they could face them in the final at The Ovalon Sunday week.
Ben Stokes was equally impressive with his 48 runs.For New Zealand Adam Milne secured 4 wickets but by then, he has already given away 79 runs.
Liam Plunkett took four for 55, with his fellow paceman Jake Ball named man-of-the-match after striking early to dismiss Luke Ronchi for a duck on his way to fine figures of two for 31 in eight overs.
Just last week, he had an expensive return of one for 82 during England's opening eight-wicket Group A win over Bangladesh at the Oval.
"In many ways England's 87-run victory was a complete team win, with the batsmen all largely contributing and all of our bowlers sharing the wickets". They bowled very consistently, and made life hard for us with the bat. "And the best teams save their best games for when they really matter", Bell wrote in his column for the International Cricket Council. The trio weren't overly explosive with the bat but steadily added to the score, as the Black Caps couldn't find the wickets they desperately needed.
"The persistence and mind set the guys showed kept us in good stead, so when we eventually took a wicket we took two, and could build on that". They always are favourites going into a white ball tournament.
Currently England is on the top of Group A points table with 2 points and +0.407NRR and New Zealand is on 3rd position with 1 point.