Weiner spokesman Ben Fishel said the congressman "gave a little blood to help end some of the red ink around the mohair program."
It's been tough for New York politicians and animals.
New York Mayor Michael Bloomberg was bit by a groundhog last year. Fishel added: "This is more evidence that animal-themed press conferences are not for the faint of heart."
Weiner's district includes parts of Queens and Brooklyn, where goats are more likely to be found in butcher shops.