If the urine is fresh use an absorbent cloth and blot away any wetness. Use adequate pressure to soak up the moisture. If needed, use several cloths so you can get as much of the substance from the floor. 1  You can also use absorbent paper towels but use enough to dry the areas as thoroughly as possible.f you do decide to replace your floor, seal the surface well. 1  Apply an odor remover that you can find in pet stores. 2  Look for one that has enzymes in it to attack any remaining bacteria. 3  Be sure all the odor is gone so the smell doesn’t draw your cat back to that same spot.