On Kenmore refrigerators with icemakers, a water leak under the crisper drawer could be from the improper installation of a water filter, a leaking water tank or a leaking water inlet. On units without icemakers, water under the drawer could indicate clogging of the drain plug.
Removing and reinstalling the water filter so it seats correctly often stops leaks from improper installation. The water tank is often a coil of plastic pipe at the bottom of the refrigerator. If the coil leaks, it requires replacement as it does not accept patches. The water inlet also requires replacement if defective.
Water from the defrost cycle collects under the drawers to drain to an evaporator pan outside the unit. A clogged or frozen drain prevents the water from draining.