Hector, Sylvester, and Tweety are chasing each other on the street. They accidentally get injured by passing cars. They are taken to the Animal Hospital, where Nurse Granny takes care of them. Tweety tries to get some rest, but Sylvester tries to get him. Hector hits Sylvester's cast with a mallet, and Granny sees him in pain, and gives him pills to make him fall asleep, only for Hector to bother him. Sylvester succeeds into eating Tweety, but Granny sees Tweety's feathers on Sylvester, and when she sees Tweety in an X-Ray, she does surgery to get Tweety out. Sylvester appears to be out of surgery, with a giant bandage over his chest. Hector tries to hit Sylvester's cast again with a club, but Sylvester slides his cast into a mouse hole only for the mouse to hit both Sylvester's and Hector's casts with a hammer, and when Granny saw the two in pain, she straps them in their beds. Sylvester build a machine that puts dynamite in Hector's cast, but Hector rows to Sylvester's bed and switched the dynamite cast in Sylvester's leg, which it explodes. Later, Granny tells them that there is nothing wrong with them, and they are released. But they start the street chase again, and Granny, as she checks "Tweety", "Cat", and "Dog" into the "Outgoing Patients" list, she sees the chase, and puts them back into "Incoming Patients", and sighs to the audience, "Que sera sera.". Iris out.
Although this cartoon is a Merrie Melodies Blue Ribbon short, it uses the Looney Tunes opening and closing themes.
When aired on the former WB channel, the part where the mouse hammers both Sylvester and Hector's cast-bound feet was cut.
Part of this cartoon would later be recycled in one cartoon from The Ant and the Aardvark series created by the same animators who worked on the WB cartoons and established the company DePatie Freleng Enterprise that released several cartoons and specials including Pink Panther in which one Pink Panther cartoon also recycled some part of Greedy For Tweety.