trust me you do not want to do that. In my trailer, the guest bath tub was covered in the same linoleum that is on the kitchen and closet floors. It was built in 1979, and now the wall has started to rot. it is no longer waterproof. I included a pic so you can see. Please do not try this. it will end badly.
Look at the back wall, you can see the light white spots where the linoleum has started to rot away.