Erik Hamren's team trained on Thursday before inviting the media to visit their plush hotel, where they are preparing to face Ukraine, England and France in Group D.
"It's been a long road here, but now we're finally getting down to business," team vice-captain Anders Svensson told Reuters, adding that he would be reading "everything but the sports pages" to pass the time.
"Of course not. Why would I do that?"
Hamren's side will remain here for the duration of the group, with all their games being played at Kiev's Olympic Stadium, starting against the hosts on June 11.
"I'm delighted that all our games are here," defender Jonas Olsson told Reuters, looking away to the tennis courts where the loud whoops of his team mates indicated a game was underway.
"If you can avoid any pointless travelling during a tournament, it's much better. England will have to fly in here, and I wouldn't like to be in their place."
But the defender, who plays for West Bromwich Albion in England's Premier League, said he would be happy to give his team-mates some tips on how to handle the likes of Danny Welbeck and Andy Carroll.
"Obviously, having played against the English forwards during the season, I can share a few of their strengths and weaknesses," he said.
Or, as Svensson put it: "Now is the time - we're ready."
