Lots of disorders don't always include a psychotic aspect.
Sociopathy doesn't require someone to lose contact with reality that wouldn't fit the description.
Still, there are illnesses such as certain types of dementia that may lead to psychosis depending on what damage is done to the brain.
Even Schizophrenia may not always lead to psychosis, but again may depend on the severity and course of the patient's illness.
@Daniel Sumner Great answer! Thanks!