Jurgen Klopp expects Alisson to make his Liverpool debut against Napoli in Dublin on August 4.
Alisson joined Liverpool from Roma in a £67m deal last week but has been given extended leave after the World Cup.
“He is desperate to play. He could have joined us here in America but it made absolutely no sense,” Reds boss Klopp is quoted as saying by the Daily Telegraph.
“He had a long year and, as Brazil’s No 1, it was quite an intense year, so I sent him on holiday again. There will still be two games to play and West Ham is only the first game of the season, not the last one.
“I would say he plays in Dublin [against Napoli].”