(CNN Money) — United Airlines said it’s suspending a program that transports pets in cargo holds.

It will stop accepting new reservations for its PetSafe program, though it will honor any reservations made through March 20, the airline said.

Passengers can still carry small pets with them in carry-on luggage.

The suspension comes as United reviews its pet transport policies, a process that should be completed by May 1, United said.

United has experienced some major pet-traveling disasters recently. Last week, a small dog died after it was put in the overhead bin on a United flight. Then the carrier mistakenly shipped a Kansas-bound dog to Japan, and in a separate incident, it had to divert another flight to Akron, Ohio, after the airline realized a pet had been loaded onto the flight in error.

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