Leak in the Interior Cabin and Cargo Area

Is the water showing up in the interior of your 2001 Chevrolet Suburban even when it is dry outside? If the carpet is getting wet and it has not been raining and your have not been washing your Suburban the only alternative is a plugged A/C drain. The front and rear A/C condensers each have there own drain. Where you describe the water would make me think that the rear drain is plugged. The drain is located in on the underside of the right rear behind the rear tire. When you look from underneath you can see where the A/C lines pass in to rear, next to the lines is a rubber drain tube. You can try pushing a stiff wire like a coat hanger into the drain to see if it is clear. With the rear A/C running water should begin dripping from the drain after a short time (you should also see water dripping from the front). If not water is coming out of the drain then chances are it is plugged. If the coat hanger does not work the rear A/C module may need to be removed and dissembled to clear the drain.