It was reported that the player had visited specialist Dr Ramon Cugat in Barcelona for an exploratory surgery this week due to persistent swelling in the joint.
Now Manchester City have won the title, the next step is going to be what centre forward they bring in, because it is clear that they will buy one. His last appearance came during last week's Champions League quarter-final second leg against Liverpool when he was introduced as a 66th-minute substitute. "Fully motivated to get back soon to the field", Aguero wrote on his Twitter account on Tuesday.
Aguero is expected to be a key man for Argentina, who play their first match of the tournament against Iceland in Moscow on June 16.
City secured the title after local rivals Manchester United suffered a shock 1-0 defeat at home to the Premier League's bottom club West Brom.
Aguero has scored 30 times in all competitions for newly-crowned Premier League champions City despite recently spending a month on the sidelines with a knee problem.
Returning to full fitness in time for this summer's World Cup will now be Aguero's main concern, with the showpiece event in Russian Federation now just two months away.