The Argentina international gave the update on his fitness on Twitter on Tuesday.
The forward didn’t provide a timescale for his return, saying only he is “fully motivated to get back soon to the field”.
It remains unlikely that Aguero will return for City’s remaining fixtures, though manager Pep Guardiola last week said he was hopeful the 29-year-old would be available for the “last games” of the season.
Aguero missed most of City’s games in March because of the injury. He returned as a substitute for the 3-2 loss to Manchester United on 7 April and also came on during the second half in the second leg of City’s Champions League quarter-final against Liverpool three days later.
In undergoing surgery, though, concerns have been raised over his involvement at the World Cup, which gets under way in two months.
Aguero now faces a race for fitness ahead of Argentina’s first match of the tournament against Iceland in Moscow on 16 June.