The seventh-round selection heading to Columbus will become a sixth-rounder if Nash appears in 25 per cent of Toronto's playoff games in 2021.
In addition to being a potential depth add to the Maple Leafs' bottom-six, the 31-year-old, who is currently sidelined four to six weeks with a knee sprain, has been placed on the team's long-term injured reserve, freeing up cap space for further possible moves ahead of the April 12 trade deadline.
Nash is making $2.75 million this season and is in the final year of a three-year, $8.25-million contract.
Nash has 63 goals and 172 points in 578 regular-season games with Blue Jackets, Carolina Hurricanes and Boston Bruins. Originally selected 21st overall by the Edmonton Oilers in 2007, the Consort, Alta., native has two goals and six assists in 32 playoff games.
With files from The Canadian Press