The Scandinavians have proved something of a bogey team for England, who finally ended a 43-year-wait for a win against the Swedes with a 1-0 result in a friendly last month.
Speaking of Group D, which also consist of France and hosts Ukraine, Hamren admits he is excited by the prospect of meeting England again.
He said: "I am looking forward to it because its always fantastic to play England, the atmosphere and history is fantastic.
"It will be a great game for us and for the nation.
"I don't think you saw the real Sweden in the friendly game at Wembley last month, I hope not anyway.
"I was not satisfied with that game and we need to be much, much better in the summer. If we play like we did against England and Denmark (in qualifying) then we will not have a chance of getting out of the group stage."
Meanwhile, Fabio Capello was relieved to avoid the difficult Group B at Euro 2012 and content with England's "balanced" Group D draw.
"I think Group B was the worst, Group A was better," Capello said, reflecting on co-hosts Poland's grouping with Greece, Russia and the Czech Republic.
"We have a balanced group, we need to play against Ukraine, one of the hosts of the tournament, and I remember them from when we played them in the qualifiers for the World Cup."