Gudmundsson confident Clarets can survive
The Iceland winger arrived in the summer for an initial £2.5m from Charlton Athletic, after impressing at the Euros with his country.
In his first taste of the top flight in England, he has so far made one start in the Premier League, against Hull City, and four substitute appearances, helping Burnley take four points.
And ahead of tomorrow night's home game with Watford, Gudmundsson said: "You can look at it as pressure or enjoy being in the Premier League, to not feel pressure. Most don't expect much of Burnley, but we know what we're about and our aim is to stay in the league and I'm really confident we'll do that.
"The season is young, there's a lot of games left, but I think we've shown we definitely belong, and our main goal is staying in the league.
"I've no worries, we've shown a lot of quality.
"Obviously it's a tough league, the toughest in the world definitely. The talent in this league is unbelievable as we've seen against Chelsea and Leicester, but we've shown against Liverpool, for example, we belong in this league.
"Four points isn't too bad, but after the Hull game you went to have a few more.
"But that's life in the Premier League.
"You need to concentrate for 95 minutes if not, you get punished.
"We've got to come to terms with that and I think we'll be fine."
Burnley have been stung by the details in certain games, with Swansea scoring late on to win at Turf Moor on opening day, while free kicks conceded to Hull and Leicester City have proved costly, and Gudmundsson added: "That's the quality in the Premier League, it's a tough place, there are so many talented players, and you can't switch off for a minute.
"You have more talent, better players, with one mistake they will find you out, score a goal, make an assist.
"It's just better players and you have to concentrate.
"It's one moment in a game, you can lose or draw like against Swansea or Hull.
"I knew there was such high quality, but to me it's just fantastic to be in this league and I want to make the most of it - we want to and play with a lot of freedom."
Watford beat Manchester United last time out last Sunday, and Gudmundsson expects another tough examination: "Watford is going to be difficult, as is every game in the league. They're obviously confident after beating Man United in the last game, and they play a different system, 3-5-2, not a lot of teams play that so we have to adjust to that, but our home form has been quite good and it's going to be tough for them to come to our place.
"Everything has to work to beat a team like Man United, and they've shown they're a good side.
"They imaged really well.
"They have fantastic players, the two strikers are tough to stop, but we've got great defenders.
"Every win is great for confidence, so hopefully we'll get that."