El Tri will face Israel in Mexico City on May 28 before traveling to the USA for previously scheduled friendlies against Ecuador, Bosnia and Herzegovina and Portugal.
It wasn't possible to bring a team qualified for the World Cup for El Tri's final game in Mexico before the tournament because of "the majority of world leagues ending on May 26," according to a Mexican federation (FMF) statement.
The game against Israel was described as "the best option" for Mexico by the FMF, with Wales and the Republic of Ireland previously mentioned as possible opponents.
Mexico faces the United States in Phoenix next month, followed by the Israel game, then Ecuador in Dallas on May 31, Bosnia and Herzegovina on June 3 in Chicago and Portugal in Boston three days later in preparation for Brazil 2014.
El Tri fly to Santos, Brazil, on June 7 to prepare for their first game of the World Cup against Cameroon on June 13 in Natal.