De la Torre was sacked as El Tri coach following a shock 2-1 home defeat to Honduras in the latest round of CONCACAF fixtures that leaves them in danger of missing out on next year's World Cup.
They have won just one of their seven qualifying matches to date and sit fourth, with the top three teams automatically booking their place in Brazil and the fourth-placed team meeting New Zealand in a two-legged play-off.
Luis Fernando Tena has been tasked with turning around Mexico's fortunes, yet his start against Klinsmann's men in Columbus on Tuesday will be a stern test as they have not won a World Cup qualifying match in the United States since 1972.
Argentina-born midfielder Christian Gimenez recognises the seriousness of their situation as he said: "There is no possibility for errors. We are committed to win the three games remaining."
For his part, USA coach Jurgen Klinsmann, who will be without suspended trio Jozy Altidore, Geoff Cameron and Matt Besler as well as Michael Bradley due to injury, is refusing to take Mexico lightly.
"We have got used to this. In the recent months, we've tried to build an extensive squad so any player who joins us knows what he has to do," said Klinsmann, whose side sit second in the standings.
"I don't think De la Torre's dismissal can increase our chances (of victory). It is a 50-50 match."
Forward Joel Campbell hopes Costa Rica can book their spot in Brazil with victory at bottom-of-the-table Jamaica.
Costa Rica lead the standings on 14 points and a victory in Kingston will give them the ticket to the World Cup.
The 3-1 win over the USA last weekend helped the Ticos to the brink of that achievement and Campbell wants an identical performance against the Reggae Boyz, who have collected just three points from their seven matches.
"We must be calm. We won a very important game against the United States but have trained normally, slept well and done anything out of the normal schedule," Campbell told a press conference.
"Jamaica is a tough team. We hope they will have a bad day so we can beat them and make it into the World Cup."
Midfielder Celso Borges added: "This is the most important match we played in the current qualifying campaign.
"This group deserves to finish this as soon as possible and finally clinch the goal."
Panama's hopes of reaching the World Cup for the first time faded after a goalless home draw with Jamaica although coach Julio Dely Valdes wants his players to fight at Honduras.
"We go to Honduras looking for a positive result. We know how to do that so we'll fight for the three points," he said.
Honduras lie third but will feel they have to win and hang on to the final automatic qualification spot as Mexico sit just two points adrift.
"Panama will not be easy to pass, but we play at home and we have the obligation of winning," Honduras midfielder Wilson Palacios told Diez newspaper.