Ukraine shook off last week's defeat by Spain to thump Saudi Arabia 4-0 yesterday.
Ukraine were ahead inside four minutes when Mabrouk Zaid needlessly gave away a corner and Andriy Rusol bundled in.
Saudi keeper Zaid was also at fault when he slipped attempting to keep out Serhiy Rebrov's 35-yard piledriver.
Maxim Kalinichenko set up Andriy Shevchenko to head a third just after half-time and the roles were reversed for Kalinichenko to tap in a fourth.
Ukraine coach Oleg Blokhin likened his team's 4-0 victory to a fairytale.
"It's a little bit like Cinderella. The pumpkin turned into a beautiful coach and the other animals turned into wonderful horses," he said.
"That's what happened to us. We knew it was a decisive match for us and we turned things around."
Tunisia now stand between Ukraine and a place in the knock-out stages on their debut in the World Cup finals, but Blokhin will not be taking their Group H opponents lightly.
He added: "The future is same as before. We now need to succeed against Tunisia.
"I think our chances of going all the way are not huge because there are stronger teams but we will fight."
Striker Andriy Voronin said the victory more than made amends for the heavy defeat in their opening game.
"After the 4-0 defeat against Spain, when the way we played was embarrassing, we wanted to show we can play," he said. "We had a bit of luck as well.
"Our goal is to survive the group phase. Hopefully we'll go further and then we'll see who we're up against."
Saudi Arabia coach Marcos Paqueta praised his players afterwards: "They tried and tried the whole way. When you give all your effort, you're satisfied with what you've done.
"We will have to concentrate on the match against Spain. We will get all the players involved and take care of the speed of the Spanish team."
Ukraine were ahead inside four minutes when Mabrouk Zaid needlessly gave away a corner and Andriy Rusol bundled in.
Saudi keeper Zaid was also at fault when he slipped attempting to keep out Serhiy Rebrov's 35-yard piledriver.
Maxim Kalinichenko set up Andriy Shevchenko to head a third just after half-time and the roles were reversed for Kalinichenko to tap in a fourth.
Ukraine coach Oleg Blokhin likened his team's 4-0 victory to a fairytale.
"It's a little bit like Cinderella. The pumpkin turned into a beautiful coach and the other animals turned into wonderful horses," he said.
"That's what happened to us. We knew it was a decisive match for us and we turned things around."
Tunisia now stand between Ukraine and a place in the knock-out stages on their debut in the World Cup finals, but Blokhin will not be taking their Group H opponents lightly.
He added: "The future is same as before. We now need to succeed against Tunisia.
"I think our chances of going all the way are not huge because there are stronger teams but we will fight."
Striker Andriy Voronin said the victory more than made amends for the heavy defeat in their opening game.
"After the 4-0 defeat against Spain, when the way we played was embarrassing, we wanted to show we can play," he said. "We had a bit of luck as well.
"Our goal is to survive the group phase. Hopefully we'll go further and then we'll see who we're up against."
Saudi Arabia coach Marcos Paqueta praised his players afterwards: "They tried and tried the whole way. When you give all your effort, you're satisfied with what you've done.
"We will have to concentrate on the match against Spain. We will get all the players involved and take care of the speed of the Spanish team."
