Louisville Metro Animal Services said Thursday it's at Code Red, meaning there are no open kennels.
But the overcrowding means if they're not adopted soon, they could be put to sleep.
Cramped kennels have forced the city to go back to euthanizing dogs and the shelter can't adopt its way out of the problem.
LMAS said stray intake is at an all-time high while adoptions are down as rescue organizations are also full.
The nonprofit animal shelter is out of room for adult dogs, ranging from medium to large size.
On Friday, Floyd County representatives debated whether a solution is even possible.
The shelter is moving about three minutes from its current location to make way for a bourbon tourism development.
LMAS is legally required to hold strays for 5 days, after that, the animals can be placed for adoption or offered to be fostered.
As of Friday morning, Louisville Metro Animal Services says it was down to just one open dog kennel.
Wire fills the gaps of kennel gates and holds together others that have detached from the concrete it was once mounted into.