The team announced that the deal is contingent on Turris passing a medical examination. Financial terms of the deal weren't disclosed.
Turris sat out all of training camp and has missed Phoenix's first 19 games this season. He had until Dec. 1 to work out a deal with the Coyotes or miss the rest of the 2011-12 NHL season.
The 22-year-old center had 11 goals and 14 assists in 65 regular-season games last season for Phoenix, adding one goal and two assists in four playoff games.
Turris was the Coyotes' first-round pick in the 2007 draft at No. 3 overall and has 19 career NHL goals and 27 assists in 131 regular-season games.