The Iceland international maintains the Clarets' sole focus is firmly on this weekend's game with Watford and then the busy festive period.
Despite suffering a 1-0 defeat at Leicester, Burnley can cement seventh spot in the table this weekend when they take on the team directly below them.
Asked if the squad had spoken about what they could achieve this season, Gudmundsson said: "Not really, it’s just take each game as it is, I know it’s a cliche but you can’t do more than that, take the next game as it comes, try to perform at the highest level in that game and see from there.
"We know it’s a long season. We’ve started well, we want to carry on like this and hopefully we will because we’re a really good side."