Dyer believes Swansea’s draw with Liverpool at Anfield last weekend is a symbol of their growing confidence in the Premier League.
“When you look at who we have played against already this season, it includes Manchester City, Arsenal, Chelsea and Liverpool – all away games,” the 23-year-old told the club’s official website.
“The first game against Manchester City was a real eye-opener for us. But it was a good lesson to get early on.
“The experience we have gained from playing some of the biggest teams in the biggest stadiums has really helped us settle in this league.
“The way we played at Liverpool showed that we have come along since the Manchester City game. To get a point at Anfield, and play as well as we did, boosts confidence and that can only put us in good stead for the next game against Manchester United.”
He added: “I’m sure everyone will be expecting Manchester United to beat us because they have top quality players.
“But we believe in ourselves. We have quality players that have already stood up against some very good teams.
“We are at home, and everyone has seen the impact playing in front of our fans at the Liberty has had.
“They have been fantastic – supporting us home and away, and making us feel like we were at the Liberty even when we were playing at places like the Etihad, Emirates, Stamford Bridge and Anfield.
“With the fans behind us you never know what could happen against United.”
