CANBERRA—Mexico is speeding up efforts to join an Asia-Pacific trade pact that it believes could add $180 billion in value to the country's exports, said Bruno Ferrari, the economy secretary.

By joining the Trans-Pacific Partnership negotiations, which aim to eliminate all tariffs among member nations within 10 years, Mexico can build on its role as a bridge between Asia and U.S. trade, Mr. Ferrari said in an interview Monday.

"We...