U.S. stocks could sell off on Wednesday if China's market falls again, veteran trader Art Cashin told CNBC.
Cashin, UBS director of floor operations at the New York Stock Exchange, told "Closing Bell" that traders were bargain hunting after the morning's rout.
However, "if China doesn't support its market or goes into free fall again, we'll have an ugly day tomorrow," said Cashin, a CNBC contributor.
Kenny Polcari, director at O'Neil Securities and a CNBC contributor, was one of those buyers on Tuesday.
"Even when we were at the complete lows on the day there wasn't this sense of panic at all," he told "Power Lunch" before the market close.
The major indexes are all down at least 4.7 percent for October.
Cashin began his career at Thomson McKinnon in 1959. In 1964, at age 23, he became a member of the NYSE and a partner in P.R. Herzig & Co.
—CNBC's Fred Imbert contributed to this report.