The 25-year-old and international team-mate Alex Telles both sustained injury during Brazil’s 1-0 defeat by Cameroon on Friday.
Recall that was his first start in Qatar after two earlier substitute appearances.
His club,Arsenal said Jesus will now start a rehabilitation programme but put no time on his return.
“Everyone at the club is supporting Gabby and will be working hard to get him back on the pitch as soon as possible,” an Arsenal statement read.
Jesus has scored five goals for the Premier League leaders in all competitions this season after signing from Manchester City in the summer.
However, Brazil will face Croatia in their Quarter final campaign on Monday.