Midfielder Michael Bradley has also been ruled out after suffering a left ankle sprain during warmups prior to the start of the match.
U.S. Soccer also announced that Hertha Berlin central defender John Brooks has been released back to his club.
The United States are a point behind Costa Rica in qualifying while Mexico are in fourth place, outside the automatic qualification slots on eight points in the final stage six-team group.
On Saturday, Mexico sacked coach Jose Manuel "Chepo" de la Torre after Friday's loss to Honduras which dented their hopes of qualifying.
Luis Fernando Tena, who coached the gold medal-winning Mexico team at the London Olympics, has been handed the job and will take charge on Tuesday.