Mr Blinken appeared later on Tuesday before the Senate appropriations subcommittee, which oversees diplomatic and foreign aid spending.
He returns to Capitol Hill on Wednesday for two more rounds of testimony at hearings of the Republican-led House of Representatives Foreign Affairs Committee and a House appropriations subcommittee.
Republicans criticised Mr Biden for saying this month that he would delay a shipment of bombs to Israel and consider withholding others if Israeli forces launched a major invasion of Rafah.
Billions of dollars in US military assistance remain in the pipeline for Prime Minister Benjamin Netanyahu’s government.
Republicans also called for action in response to the International Criminal Court prosecutor’s announcement on Monday that he had requested arrest warrants for Mr Netanyahu and his defence minister over alleged war crimes in the Gaza conflict. The prosecutor, Karim Khan, also sought arrest warrants for three Hamas leaders.
Mr Blinken said the Biden administration would be happy to work with Congress to formulate a response to what he called “a profoundly wrong-headed decision” regarding the warrants for the Israeli leaders.
Democratic Senator Ben Cardin, who chairs the foreign relations panel, also criticised the ICC.
“I see it as a step in the wrong direction,” Mr Cardin said.