The 26-year-old striker suffered a serious knee injury during the Qatar World Cup last year.
It took him three months before recovering in time for the final weeks of the Premier League.
He has now undergone a minor operation on the same knee that required surgery last December.
Jesus is expected to miss the start of the season including Sunday’s Community Shield clash with Manchester City.
Manager Mikel Arteta believes Jesus will soon be back in the fold in a few weeks and will be an integral part of Arsenal’s title challenge.
‘He is fine obviously he was very disappointed, he was feeling very good and this issue came up,’ Arteta said during a press conference today.
‘Nobody expected it and we had to do a little procedure there. But unfortunately it was the best thing to do.
‘[To do it] as quickly as possible the better. We made that decision. I’m sure he will be back soon and very fit.’
In Jesus’ absence, Eddie Nketiah can step up who scored six goals in the Gunners’ first six games after the World Cup.
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