The actress' said her home is full with "three kids, four dogs, four chickens, a fish, and a husband, too."
Pompeo also recently adopted a dog named Lily.
"We adopted Lily from Love Leo rescue. I was scared for her when she first came because she was really scared. Every time someone would come in the house she would run and hide under a bed because I think she thought someone was going to take her away."
Pompeo said she the new pup needed a lot of work adjusting to a new home, and credited the adoption agency for taking such good care of the dog.
"They do so much for animals and keep them out of kill shelters and I can't say enough about them and the dog that I rescued from them. They just want to feel safe."
The award-nominated actress is also excited about making her directorial debut for an upcoming episode of "Grey's Anatomy."
"I definitely had an advantage being there for 13 seasons. Debbie Allen, she really wasn't going to take no for an answer and enough women really don't get the opportunity to direct, so I thought, who am I to get the opportunity and say no.
The "Grey's Anatomy" episode directed by Pompeo will air Thursday March 30th.