Experts said the munitions could help Ukrainian troops destroy Russian tanks.
The munition can be fired from US Abrams tanks, which are expected to arrive in Ukraine in the coming weeks.
One of the officials said the yet-to-be-announced aid package will be worth between $240 million and $375 million, depending on what is included.
Britain sent a consignment of depleted uranium munitions to Ukraine earlier this year but the US shipment is likely to stoke controversy and rhetoric from Russia.
Controversial weapon
The use of depleted uranium munitions has been fiercely debated, with opponents like the International Coalition to Ban Uranium Weapons saying there are dangerous health risks from ingesting or inhaling depleted uranium dust, including cancers and birth defects.
A by-product of uranium enrichment, depleted uranium is used for ammunition because its extreme density gives rounds the ability to easily penetrate armour plating and self-ignite in a searing cloud of dust and metal.
The rounds were originally developed by the US during the Cold War to destroy Soviet tanks, according to PBS.
While depleted uranium is radioactive, it is considerably less so than naturally occurring uranium, although particles can linger for a considerable time.
The US used depleted uranium munitions in massive quantities in the 1990 and 2003 Gulf Wars and the Nato bombing of former Yugoslavia in 1999.
(With inputs from agencies)