ESPNNewYork.com and RDS report the Canucks are talking with Tortorella about replacing Alain Vigneault, who was let go after the team was swept by the San Jose Sharks in the first round of the Stanley Cup Playoffs.
Vigneault reportedly spent Tuesday being interviewed for Tortorella's old job in New York during the Rangers' annual organization meetings in La Quinta, Calif.
New York gave Vancouver permission to speak with Tortorella, who has two years remaining on his contract with the Rangers. He signed a contract extension during the season but was let go after the Rangers lost their Eastern Conference Semifinal series to the Boston Bruins in five games.
The Dallas Stars reportedly are interested in talking to Tortorella about replacing Glen Gulutzan, who was fired after the team missed the playoffs. As of Monday, the Stars had not requested permission to speak with Tortorella.
Canucks general manager Mike Gillis told the TEAM 1040 in Vancouver on Friday that he was going to interview "four or five more" candidates for the coaching job. He suggested he wanted to have a coach on board before NHL free agency opens on July 5.