I would at a guess say the ONLY way thats going to happen is is your soil pipe / drains are blocked - The bath waste usually goes into the soilpipe stack and the i assume the downstairs loo you have is below - therefore the water from your bath is faslling into the same soilpipe but not flowing away as it should!!! I would get pipe checked or cleared before u have a downstairs loo full of nasties!!! Hope this helps even IF not reassuring
Peter - (Jack of all trades master of none), December 2008