Epistaxis and Prozac (fluoxetine)
If they are rare and only an insignificant amount of blood, it is not likely of much importance.
Consider humidification and eliminating/decreasing of drying medications or over the counter agents you are on.
and other ssri's can affect bleeding/clotting though. Some can get relief adding vitamin c
(true for bruising as well).
If the bleeding is many tissues, many times a day - see md.