Kyiv has repeatedly asked the Biden administration for Army Tactical Missile Systems (ATACMS) to help attack and disrupt supply lines, air bases and rail networks in Russian occupied territory.
But the White House did not disclose any decision on ATACMS when Mr Zelensky visited Washington on Thursday for talks with Mr Biden, even as it announced a new $325million military aid package for Kyiv.
The Pentagon did not immediately respond to a request for comment from Reuters.
The news agency has previously reported the Biden administration was considering shipping ATACMS to Ukraine that can fly up to 190 miles.
ATACMS are designed for “deep attack of enemy second-echelon forces,” a US Army website says, and could be used to attack command and control centres, air defences and logistics sites well behind the front line.
Mr Biden assured Mr Zelensky on Thursday that strong US support for his war to repel Russian invaders will be maintained despite opposition from some Republican lawmakers to sending billions more in aid.
Mr Zelensky thanked Mr Biden on for the latest package of weaponry, including air defences, saying “it has exactly what our soldiers need now.”