"I rate his chances to play in Euro 21012 as very small," the club's doctor told Swedish tabloid Aftonbladet.
Aftonbladet reports that the 30-year-old forward has chipped a bone in his foot which was in plaster last night. Galatasaray's doctor said that it usually takes six to eight weeks to recover from such an injury. Sweden's first match against co-hosts Ukraine is June 11.
Elmander told Aftonbladet that he hadn't yet ruled himself out of the tournament.
"I have had injuries which feel really serious and this does not feel so bad. Obviously I have the Euro's in the back of my mind."
Elmander is flying back to Sweden on Monday where he will be assessed by the national football team doctor.
Coach Erik Hamren names his squad for Poland and Ukraine on Monday and told SVT television;
"In the last second he recieved a bad tackle. It is very bad if Elmander can not come to the tournament."
Hamren will comment further at tomorrow afternoon's press conference.