When Rabbits Ingest Rat Poison If a rabbit eats certain rat poisons, the blood will not clot properly (coagulopathy). This is a relatively common type of poisoning in rabbits, as many of these rat poisons are sold over the counter and widely used in homes. While all rabbits are susceptible, those kept outdoors or allowed to free-roam the house may be at higher risk. This condition is also more prevalent in the spring and fall, as rodenticide products are more frequently used during these seasons.