Skinner, third in the Santa Anita Derby on April 8, gained a berth in the Kentucky Derby on May 6 after Wild On Ice sustained a fatal injury during training early Thursday at Churchill Downs.
Skinner will have a new rider in Juan Hernandez, who replaces Victor Espinoza.
"We thought a change would maybe shake things up a little bit," trainer John Shirreffs said Thursday. "Maybe Skinner was used to the way Victor was riding him. It might help to have a different rider."