The NFL announced the change Tuesday.
McKay has been on the committee since 1994 and a co-chairman since 1998. Fisher became co-chair in 2001, but no longer is a member of the committee; he will be a nonvoting adviser during this offseason.
Fisher and the Titans parted ways in January. He was their coach for 16 seasons.
The committee recommends rules and policy changes to the NFL's 32 teams.