Hi Michelle
My cousin has just gone through this, her DH has a mental illness that has been managed for many years, however they were told their chances were not that great, if any at all.
She didn't go in to specifics with me so I'm not sure if they came right out and said that or if it was suggested very diplomatically (sp?) that they didn't have a good chance, but they decided not to continue with the process due to his illness.
Hope this helps