Adam Caplan of TheSidelineView.com first reported news of a likely Sherman deal.
Complete terms of the trade are not yet known.
A fifth-round pick of the Cardinals in 2011, Sherman (5-10, 242) has appeared in 28 regular-season games, catching 13 passes for 111 yards and carrying once for three yards.
Rookie Braden Wilson and Sherman appear to be the primary contenders for the Chiefs’ fullback job.
The reported trade of Sherman leaves the Cardinals without a fullback on the roster. New head coach Bruce Arians has been known to deploy tight ends in fullback-like roles, with David Johnson in Pittsburgh an example.