The inner seal should be a conventional single lip seal, not a felt seal. This seal is responsible for keeping oil out of the brakes.
The outer seal is also a single lip seal, and its job is to keep dirt out of the bearing assy, which is to be packed with grease. It should also be able to keep oil off the brakes if the inner seal fails. Stated another way, if you have oil on the brakes, they should both be replaced.