The Paris Saint Germain striker “received a kick in the right foot” during Saturday's Ligue 1 opener against Lorient.
“It's nothing serious but he's suffering from swelling and will undergo tests to see if he is fit to train on Tuesday,” the SvFF added.
Sweden coach Erik Hamrén has called up Gothenburg striker Tobias Hysen as a possible replacement.
Ihrahimovic said however he was hopeful of lining out against Brazil.
“It's something big to play against them, a good experience for us before the World Cup qualifiers begin,” he said.
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“(Brazil's) Thiago Silva, my teammate in Paris and before that in Milan, is the top defender in the world.”
Ibrahimovic, 31, has scored 33 goals in 80 matches for Sweden and has not missed an international game since a friendly against Qatar last January.
Meanwhile, Pelé and other members of Brazil's 1958 World Cup-winning team are being invited to Stockholm to commemorate their victory against the hosts.
The match on Wednesday will be the last to be staged at the venue before it is demolished, to be replaced by a new 50,000-seat stadium nearby.
The Råsunda Stadium was the centrepiece of the 1958 World Cup finals, and hosted the final, which Brazil won 5-2 against the hosts.
Pelé, aged 17 at the time, netted a brace in that game.