The pick will become a sixth-round selection in the 2019 draft if the 24-year-old defenseman plays in 50 NHL games during the 2018-19 season.
Carrick had 12 points (four goals, eight assists) in 47 regular-season games for Toronto last season. He three game-winning goals led Maple Leafs defensemen.
Chosen by the Washington Capitals in the fifth round (No. 137) of the 2012 NHL Draft, Carrick has 30 points (nine goals, 21 assists) in 167 NHL games with the Capitals and Maple Leafs. He was traded to Toronto, along with forward Brooks Laich, by the Capitals for forward Daniel Winnik and a fifth-round pick in the 2016 NHL Draft on Feb. 28, 2016.