"To date, we have not received information about closures of US border crossings", Ebrard told reporters.
Last week, US President Donald Trump threatened to close the southern border if Mexico did not take action to stop all illegal migration heading to the United States.
Trump himself previously admitted that closing the border would have a negative effect on the US economy.
On Monday, Mexican Interior Secretary Olga Sanchez Cordero said the Mexican government does not plan to adopt a special plan to restrain caravans of migrants from Central America that travel through the country to the United States.
According to Mexico's Ministry of Internal Affairs, in February alone, more than 76,000 migrants, who crossed Mexico and tried to get into the United States were detained, and in March this figure is expected to amount to 100,000 people.