Anderson has been named in Brazilian coach Dunga's 18-man squad for the games which Brazil will begin on 8th August.
The football at the Olympic games take's place between 6th and 23rd August so the United midfielder is therefore likely to miss the start of the new Premier League season which begins on Saturday, 16th August.
Brazil Squad:
Goalkeepers: Diego Alves (Almeria), Renan (Internacional).
Defenders: Ilsinho (Shakhtar Donetsk), Rafinha (Shalke), Marcelo (Real Madrid), Alex Silva (Sao Paulo), Breno (Bayern Munich), Thiago Silva (Fluminense).
Midfielders: Anderson (Manchester United), Diego (Werder Bremen); Hernanes (Sao Paulo), Lucas (Liverpool), Ronaldinho (FC Barcelona), Thiago Neves (Fluminense).
Forwards: Alexandre Pato (AC Milan), Jo (Manchester City), Rafael Sobis (Real Betis), Robinho (Real Madrid).