Kenmore portable
My wife and I had the exact same washer purchased new for a couple of years in our apartment when we got married in 1993. If memory serves, there were 3 or 4 shipping tabs (metal) that were designed to keep the tub from moving around. They were attached to webbed nylon straps and you just had to pull them out (the straps were inside the tub).
If the tub can be moved around from side to side on its suspension by hand, then I think they must have been removed.
Before attempting to run it, you might want to check the hoses first to be sure that they are still flexible and that all of the clamps are in place. If it looks good under there, I would fill it partially with hot water and let it sit for a little while to help soften the hoses and seals up, watch for leaks/overflows and try running it.
I wish we still had that washer. I ordered it as we wanted it in almond instead of white. It was pretty expensive at the time ($449.99). We sold it two years later when we purchased our first house as it came with a late model GE Filter-Flo set (1991) already installed.
Best of luck,
Andrew S.