Yes, you need a new sending unit. 01 may or may not have an access panel as they were phased out in later years. Pull up the carpet in the trunk near the back seat and see if you have an access panel bolted to the floor. If you do, then just undo the bolts, remove the panel and walah- there's the top of your fuel tank along with the pump.

If not, then some have cut an access hole for this reason. Or you can go through the hassle of dropping the tank.