The position puts two former Secretaries of State — one from the Obama and other from Bush administrations at odds with one of Biden's most significant foreign policy moves to date.
The new president has vowed to complete the withdrawal by 11th September 2021, the 20th anniversary of the 9/11 attack. U.S. forces were sent to Afghanistan by Rice's then-boss, former President George W. Bush, to destroy havens used by the attack's organizers.
Clinton and Rice offered their reactions during a members-only Zoom call.
Rice's office did not want to comment on a private briefing. Clinton's spokesperson did not respond to a request for comment.
"We had Secretaries Clinton and Condi Rice Zoom with the committee," one committee member told. "A little disagreement on Afghanistan, but they both agreed we're going to need to sustain a counterterrorism mission somehow outside of that country."
“Condi Rice was like, you know, we’re probably going to have to go back, amid a potential surge in terrorism,” the member said.
Rep. Mike McCaul (R-Texas), the top Republican on the committee, told "With the potential for an Islamic State, coupled with what they're going to do to our contractors in Yemen and Afghanistan is, sadly, it's going to be tragic there and we all see it coming."
Another member of the committee confirmed both Clinton and Rice raised concerns about the potential fallout from a quick removal of all US troops.
Both also expressed concerns about protecting US diplomats on the ground following the withdrawal and what the move will mean for the global war on terrorism.
Both Rice and Clinton supported military intervention in the Middle East following the attacks on 11th September 2001.
Rice, who was Bush's national security adviser at the time, helped craft the administration's wartime response.
Then Senator Clinton — considered by many as a military hawk — voted in 2002 to give Bush the authority to go to war, a vote she later said she regretted while on the presidential campaign trail.
Clinton also supported surging additional troops to Afghanistan in 2009.