WARNING: This page is about a different car, the 2004 Suzuki Grand Vitara. However, it is still accessible from the selected car via links, so may be relevant.
Fig 1: "O/D OFF" Light Comes ON Steadily Trouble Shooting Chart (1 Of 2)
Courtesy of SUZUKI OF AMERICA CORP.
Fig 2: "O/D OFF" Light Comes ON Steadily Trouble Shooting Chart (2 Of 2)