Spurs will make the short trip to Selhurst Park on the weekend of 17 August, before hosting Swansea at White Hart Lane in their second game.
“It will be a difficult game, a London derby and Palace’s first match back in the Premier League,” Sigurdsson told Spurs’ website.
“We need to get off to a good start to the season, so it’s important we get the three points and go from there.
“We started slowly last season, drew a couple of games at home that we really should have won and that cost us.
“We’re all determined to make a good start and pick up good points in the first few weeks.”