Mexico says it has successfully curbed the number of undocumented migrants crossing into the United States by 56% since May.
Foreign Secretary Marcelo Ebrard announced the reduction of numbers at a government news conference on Friday.
The two countries agreed in June to a 90-day window to reduce the flow of migrants crossing into the US.
President Donald Trump had threatened to implement tariffs on Mexican imports if they did not act to stem migration.
Officials, including Mr Ebrard, are set to travel to Washington next week to discuss their efforts.
“I don’t expect there to be a tariff threat on Tuesday,” Mr Ebrard said about the meeting.