Need to replace fan blower switch on 2001 Jeep Wrangler

SOURCE: 1999 jeep wrangler heater blower

you need to change the resister block for the fan. it is located on the heater duct near the fan... there is a connector on it and two or three screws holding it in.

Robert

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SOURCE: radiator fan not working replaced relay,temp

Check the wiring from the relay to the fan motor, and check the wiring from the fuse block. Basically check all wires that supply power to the fan motor, use a volt meter. Fan Relay (behind headlight, under battery) on the 2001 GC 4.0L are a piece of ****, I change mine almost yearly. The problem is their location, a high heat area prone to the elements. I understand that 2002 and newer, the location was changed and the problem solved. Relay might close the circuit when cold or at reasonable temps, but might open a circuit when it heats up, causing the problem.

SOURCE: 2000 4.7L Jeep Grand Cherokee fan relay switch replacement

Go to this page:
http://rigs.corequipment.com/cebby_WJsite/cooling.htm#relay

SOURCE: Blower only pushes air through defroster. 96 Jeep GC

There is a vacuum leak under the hood. On the 4.0 liter it is usually at the intake manifold near the brake booster. The 90 degree vacuum fitting pops off of the nipple of the intake. On the 5.2 liter the vacuum leak is usually near the battery where acid corrodes through the line as it passes near the battery box to the reservoir under the box.

SOURCE: 2001 Jeep Wrangler heater blower stopped working

Yes I would go with the switch, BUT, does it have a resistor bank? That is, how does it reduce the speed? Many systems use resistors to lower the speed. Burnt or bad connections can cause this as well.
You can test the blower motor by connecting direct power from a source like the cigarette lighter if you are handy.
Most of the time the lower speeds konk out but the high speed continues to work this is the resistor bank that goes out.