The double-chin jab is an injection of a synthetic chemical that destroys fat cells.
Regulators at the Food and Drugs Administration have received a submission from the makers of the jab, Kythera Biopharmaceuticals.
Discussions are scheduled for March. And if these are positive, the injection, called ATX-101, could become available in May.
If it gets the go-ahead, it will be the first injection of its kind for this cosmetic purpose.
Botox and other dermal filler injections are already available to smooth and plump the face, but none is available for reducing chin fat.
ATX-101 is a man-made version of a naturally occurring molecule in the body, called deoxycholic acid, which helps breakdown dietary fat.
The jab has been tested in more than 1,600 people in clinical trials.