Sigurdsson excited by Rodgers reunion at Swansea
Sigurdsson welcomed the chance to play in the Premier League, as well as the opportunity to reprise his relationship with boss Brendan Rodgers.
"I'm really pleased that agreement has been reached between the clubs and it is a dream is true for me to get into the Premier League," Sigurdsson told Swansea's official website.
"I follow the Premier League very closely and I have both seen and heard Swansea play good football.
"It does not surprise me because I played under manager Brendan Rodgers at Reading and he wants his team to play the ball from the last man."