Hochevar will start Wednesday, with the rest of the rotation remaining the same. Righty Luis Mendoza will take the mound in Thursday's series finale.
Manager Ned Yost said he opted for the switch so Hochevar gets an extra day of rest because of Monday's off-day along with the rest of the rotation. Smith hasn't started since Sept. 1 against the Twins, tossing a quality start in a 3-1 loss.
Hochevar didn't factor in the decision in Thursday's 5-4 loss to the Rangers. He gave up two home runs in 6 1/3 innings and is winless since July 31, a span of seven starts.