Ukraine coach Oleg Blokhin insists all the pressure is on England ahead of their decisive Group D clash.
A point in Donetsk would be good enough to take England into the last eight, while Ukraine need to win to reach the quarter-finals.
He said: “There will be big problems for them but it’s not the same for us. The England team will be more nervous. We have nothing to lose.
“They are one of the favourites and are expected to play in the final.”
Ukraine raised expectations with a 2-1 victory against Sweden in their opening game.
But their 2-0 defeat to France leaves them needing three points against Roy Hodgson’s side.
Fellow co-hosts Poland were knocked out on Saturday and Blokhin insists his players will have to pull off a significant shock to reach the knock-out phase.
Blokhin, who rates striker Andriy Shevchenko’s chances of overcoming a knee problem as “50-50”, added: “Nobody expects that we will fly to the moon.
“It would be fantastic, but that’s another thing. The fans should expect good play, but we shouldn’t say to our nation ‘we’ll win the Euros’. They shouldn’t shoot at us if we lose.
“We should consider England as leaders in the European Championships. They also have problems because if they lose it will be unexpected.”