He also has some work to do to before Ukraine's next test on Friday against former world and European champions France, who drew their opening match against England 1-1.
"We haven't thought about the game against France. I don't know whether I will change the starting line-up or not," Blokhin said of the France clash in Donetsk.
Andriy Shevchenko's two second-half goals on Monday sparked national celebrations that temporarily diverted attention from economic problems and political tension in Ukraine.
"I was disappointed with our performance in the final stages because players did not stick to the agreed game plan," said Blokhin, a former European Footballer of the Year who is never shy of criticising his players.
"We've taken advantage of the draw between France and England but need to play some good football against them to prove we can qualify from the group."
"They didn't kick the ball out as our player was laying on the pitch and scored a goal. This is not fair play," he said.
"We mustn't be euphoric. We have two more games to play in the group," he said.
Ukraine looked well-organised for most of the match, giving Sweden little time on the ball, making their physical presence felt and trying to catch their opponents on the counter-attack. They also targeted Sweden's weakness from dead ball situations.
"We knew the Swedes had conceded a lot of goals at set-pieces and worked on it. And it paid off once," midfielder Serhiy Nazarenko said of Shevchenko's second goal, a near-post header from a corner.
"We did not expect easy games at the tournament and still have two very difficult games to play," Tym
