Of course, Uruguay lost their opener 2-1 to Denmark and were later involved in a thrilling 3-3 draw with Senegal, but Gus feels they should have taken greater advantage of playing against the ten-man French.
"I think the problem for Uruguay was not the game against Denmark or Senegal, the problem was the game against France.
"When you play in a World Cup for just under 70 minutes against a team with one man short - that is a game to win and get three points.
"I thought 'now it is up to us' to get a result and go through, but we didn't.
"Against Senegal it was a very good reaction, but we still went out. At least we went out leaving a very good image of ourselves - everybody talking about Uruguay's second half and that is good."
Gus reckons the public reaction to Uruguay's departure will have been softened a bit by the storming second half against Senegal, where they recovered a three-goal deficit.
"A little bit, but now everybody will ask why we didn't play the other two games, and the first half of that game, exactly the same. At the same pace and with the same attitude."
Manager Victor Pua has already fallen on his sword, but Gus feels the media pressure he was under in Uruguay was intolerable.
"It's normal, but there was so much going on. I was trying to check something before in the Uruguayan press and there were too many rumours before the World Cup. About the players that were going and the players that were out - too many rumours.
"Every single member of the press in Uruguay thinks he is the manager and it is too much."
Gus Poyet reflected on Uruguay's exit from the World Cup and pinpoints the 0-0 draw with France as an opportunity missed.