Asked if the United States would provide the jets, Biden told reporters at the White House on Monday, "No."
The Russian state news agency TASS quoted him as saying Russian forces were making advances there, but "not clear-cut, that is, here there is a battle for literally every meter."
Ukraine still controls Maryinka and Vuhledar, where Russian attacks were less intense on Monday, according to Ukrainian military analyst Oleh Zhdanov.
In central Zaporizhzhia region and in southern Kherson region, Russian forces shelled more than 40 settlements.
Zelenskiy is urging the West to hasten delivery of its promised weapons so Ukraine can go on the offensive.