McClement earn a salary cap hit of $1.5 million this past season.
The Avs already have three legitimate centers in Paul Stastny, Matt Duchene and Ryan O'Reilly and also have several prospects that can fill in the position in the future.
While putting up strong numbers in the faceoff circle, McClement also posted 10 goals and seven assists for 17 points in 80 regular-season games.