Corona, who has scored 10 goals in 71 appearances for Mexico, underwent surgery after fracturing his left ankle while training with Sevilla in August.
Martino last week named Corona in his 31-man preliminary squad for the tournament in Qatar despite the winger playing only once this season.
ESPN reported that Martino will seek talks with fellow Argentine Sampaoli as the Mexican medical staff believe it is possible to speed up Corona's rehabilitation.
Mexico expect Corona to join the team's training camp in Girona, Spain on November 14th or 15th despite Sevilla earlier saying that he would only be able to return to training in December.
Martino's side take on Sweden in their final warm-up match on November 16th before kicking off their World Cup campaign against Poland in Group C six days later. They will also face Argentina and Saudi Arabia.
