The duo played together at Tottenham Hotspur and will be reunited on Saturday.
The 27-year-old is gearing up to face his former club as Swansea prepare for a trip to White Hart Lane on Saturday afternoon.
The Iceland international spent two years at Tottenham and would have encountered Kane before the 23-year-old striker exploded on to the scene in the 2014-15 campaign under Mauricio Pochettino.
And although Sigurdsson reveals that he once had to pull the hitman to one side over his "annoying" behaviour in training, he acknowledges that his former team-mate - who extended his contract until 2022 today - is an outstanding talent who will be Spurs' main man for many years to come.
"You can tell in training that he wanted score goals," he told Omnisport. "It was a little bit annoying sometimes and I think I had a chat with him.
"With young players you never know how quickly they're going adapt.
"But he's been outstanding for the club and I think he'll be their main man in the next few years. Even now he is their main man."
Kane, last season's Golden Boot recipient with 25 Premier League goals, is fit and firing again this season and he will look to steer Tottenham beyond the Swans.
In his last home match, he netted two late goals as the Lilywhites stunned West Ham at White Hart Lane.