The £50million man was not involved in his club's pre-season tour of Asia, having been excused due to his involvement in the Confederations Cup with Spain earlier in the summer, but he will return for next week's USA leg.
In Torres' absence, Romelu Lukaku, who was on loan at West Bromwich Albion last season, has been scoring goals, including two in Thursday's 8-1 thrashing of Indonesia All Stars, and impressing.
But having returned to Chelsea this summer, Mourinho wants Torres to rise to the challenge of competing for a place with Lukaku and Demba Ba.
"I think Torres should be happy, because we have competition in the team in every position and that is good for everybody," Mourinho told Chelsea's official website.
"Sometimes Torres has been the only striker and then Demba Ba came in January, and now we have three strikers and that is good for the team."