Putin's performance at a 2018 news conference with Donald Trump led to shock when the then U.S. president cast doubt on the findings of his own intelligence agencies and flattered the Russian leader.
"We expect this meeting to be candid and straightforward," a White House official said.
"A solo press conference is the appropriate format to clearly communicate with the free press the topics that were raised in the meeting — both in terms of areas where we may agree and in areas where we have significant concerns."
Biden will meet Putin on June 16 in Geneva for a summit that will cover strategic nuclear stability and the deteriorating relationship between the Kremlin and the West.
Asked about Biden calling him a killer in an interview in March, Putin said he had heard dozens of such accusations.
The White House has said Biden will bring up ransomware attacks emanating from Russia, Moscow's aggression against Ukraine, the jailing of dissidents and other issues that have irritated the relationship.
Biden has said that the United States is not seeking a conflict with Russia, but that Washington will respond in a robust way if Moscow engages in harmful activities.