I don't own that model (or a variation of it) yet but it is one I'm interested in due to the art deco styling. Any of those old White made Kenmores will be a good sturdy machine from what I've seen.
For any new people reading this: Any friction drive machine will benefit from releasing the pressure on the rubber drive wheel when you're not using the machine. IIRC most of the Whites and Kenmores have a spring loaded motor mount. You can just stick something between the motor and machine to relieve the pressure on the drive wheel. Prolonged pressure will result in flat spots on the drive wheel. Also from what I've seen count on replacing the drive wheel on any old friction drive machine you buy. The examples I have have all had flat spots and the rubber has hardened with age. I consider the drive wheel to be a maintenance part, much like replacing the belt or a needle or light bulb on a machine.
Rodney