The huge rodents are an invasive species and can do significant damage to waterways and wetlands.
Nutria eat about 25-percent of their body weight every day and officials say if they aren't controlled, the population could explode to 250,000.
A California congressman is pushing forward with a bill to get funding to revive a program to eradicate them in the Delta.
He plans to bring a stuffed nutria to a hearing Tuesday on Capitol Hill to get his point across.