A win for the Cafeteros, who are level on 26 points with Argentina at the top of the South American qualifying standings, at the Estadio Centenario would see them reach a World Cup for the first time since 1998.
Gutierrez, who plays for Argentinian giants River Plate, said: "We are focused only on winning.
"We have three key games ahead and we must face them in the best possible way to play good football and clinch qualification."
Colombia defeated Ecuador 1-0 at home last weekend and midfielder Alexander Mejia is looking for a repeat.
He said: "We go to Uruguay with the same intention: winning. A draw would be big too, because if you can't win, you should not lose either."
Uruguay will not make it easy for Colombia as they are currently fifth, a position which would send them into a play-off with a team from the Asian qualifying section.
A victory would help the Charruas climb up to fourth if Ecuador lose in Bolivia, but Uruguay will be without banned defenders Diego Lugano and Diego Godin and injured duo Diego Forlan and Martin Caceres.
"The absence of regular first-team players increases the challenge. It is not time to speculate but to find solutions," coach Oscar Tabarez said.
Like Colombia, Leaders Argentina can also make it to the World Cup if they beat eighth-placed Paraguay at the Estadio Defensores del Chaco.
Ecuador, meanwhile, will try to beat rock-bottom Bolivia in order not to lose fourth spot.
"We put the defeat against Colombia aside and are focused on the Bolivia game. We are looking forward to improving our form," forward Luis Fernando Saritama said.
"We know Bolivia will try to win for their honour, but we'll go for the three points that help us keep on track to be at the World Cup."
It will be Bolivia's last international match in front of their home fans this year as they have a bye in the 17th round of the qualification before closing their campaign with a trip to Peru next month.
Meanwhile in Puerto La Cruz, Venezuela take on Peru hoping to keep within striking distance of Uruguay.
Venezuela, who will be without defender Gabriel Cichero (foot), lie sixth in the standings on 16 points, three below the Uruguayans and two above Peru.
Coach Cesar Farias said after the weekend's 3-0 defeat in Chile: "Against Peru, we must take the three points. There is no other option. There is no tomorrow.
"We are playing another important game against another important team. we need a victory in order to keep our hope alive."