Mexico coach Miguel Herrera will by then have named his 23-man squad and they will head to the tournament after friendlies in the United States against fellow World Cup qualifiers Ecuador on May 31, Bosnia on June 3 and Portugal three days later.
"Given that the majority of the world's leagues finish their activities on May 26 it was not possible to face a national team qualified for Brazil so we decided the Israeli team was the best option," the FMF said in a statement.
Mexico have this year beaten South Korea 4-0 and drawn 0-0 with Nigeria in friendlies and will play another World Cup-bound team the United States in Glendale, Arizona on April 2.
Herrera's side face Cameroon, hosts Brazil and Croatia in that order in Group A at the June 12-July 13 tournament.
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