"I'm looking forward to being able to debate him, but I just hope all the protocols are followed," Biden, 77, told reporters as he returned from a speech near the Civil War battlefield site in Gettysburg.
Trump, 74, announced early Friday - two days after his first debate with Biden in Cleveland - that he had tested positive for the virus.
The men are scheduled to square off again on October 15, but Biden said: "If he still has COVID, we shouldn't have a debate."
The Centers for Disease Control and Prevention guidelines say people who test positive for the virus should stay home for at least 10 days after symptoms first appear, while people who become severely ill might need to stay home for up to 20 days.
"It's a very serious problem, so I will be guided by... what the docs say is the right thing to do," Biden said.
Trump has given no indication he would bow out due to his health, saying in a tweet that he is "looking forward" to the next debate.
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