The Mexicans lie fifth in the six-team final round of the CONCACAF qualifying zone and, although there will still be five more games remaining, Aguirre believes a home win over the 'Soca Warriors' will be very important after a 2-1 defeat in El Salvador last weekend.
"We must correct a number of things, starting from defensive mistakes. We still have six games left. The distance is big but at home we have the possibility to get over (the defeat)," said Aguirre, who succeeded Sven-Goran Eriksson.
Mexico have not won any of their last six away games, but tomorrow they are hopeful of recovering form at the Azteca Stadium in Mexico City. "The final classification is not today but on 14 October," Aguirre said. "Probability requires us to win the six games, or win all our home games and not lose away."
Trinidad and Tobago skipper Dwight Yorke wants his team to profit from the pressure the hosts will feel from their own fans. "It's going to be a crucial game for both teams but the pressure is on Mexico to get a result at home," he said.
"They are coming off a loss and so are we, so both teams will be going all out to get something from this game. It's always difficult to play at the Azteca Stadium but we are still very excited about the game."
The other game tomorrow will see third-placed El Salvador travel to Honduras, who are fourth in the qualifying table, and one point back. Honduras-born but naturalised Salvadoran, Williams Reyes, is confident of scoring.
"To wear the El Salvador colours in this match will be special. Even though it is not my birthplace, I've taken a very serious commitment," he said. "Football is nice and each goal means euphoria. I want to celebrate each step in the national team. I hope I can score tomorrow. This is a very important match for both teams because neither of us want to miss the train in the qualification."
Honduras's Colombian coach Reinaldo Rueda believes their qualifying hopes are alive, even after the 2-1 defeat in the United States on Saturday. "The goal still can be achieved. We should focus on that. We must win at home. That's crucial, but not enough because we also have to gain some points as visitors," he said.