You can install our Premium Mats over carpet. Our rubber mats are very durable and are commonly used in commercial gyms. With these being vulcanized, which is the strongest version of rubber flooring, your rubber flooring will not buckle under the weight of the table. As these are rubber mats, they do have a very high coefficient of friction. You will be able to do lateral movements with ease and not feel like you are going to get tripped up due to the friction. Because these mats have great slip resistance, if something were to be spilled, you won't have to worry about someone slipping and hurting themselves.