“Sven arrives in Mexico,” the sports daily Record headlined Monday.
The newspaper added that that according to national committee member Jorge Vergara, the 60-year-old former England boss has already been hired to lead the national side.
Eriksson, who was filmed shortly after his arrival on Sunday night in a hotel in an exclusive area of Mexico City, is expected to be officially unveiled on Tuesday after meeting with officials, reports added.
Eriksson’s year in charge of Man City saw a remarkable turnaround in the fortunes of a club that had spent the previous campaign on the edge of the relegation battle.
City finally finished the season in ninth place, but despite the bonus of a place in next season’s UEFA Cup via the Fair Play league, the club’s owner Thai tycoon Thaksin Shinawatra was not satisfied.
Eriksson would replace former Mexican football star Hugo Sanchez, who lost his job in March after Mexico failed to qualify for the Olympic Games.
Mexican Jesus Ramirez has been in charge since and is expected to lead the side for the last time in a friendly against Argentina Wednesday in San Diego.
Mexico will then play a friendly in Chicago on June 8th against Peru before beginning qualifiers for the 2010 World Cup against Belize in June.
Eriksson coached England from 2001 to 2006. He also coached Italian sides AS Roma, Sampdoria, Florentina and Lazio and Portuguese giants Benfica.