Military leaders would also regain the authority to target Taliban leaders with air strikes under the proposals.
President Donald Trump has not approved the plan, unnamed officials say. They may include a request that other Nato countries send 3,000-5,000 soldiers.
There are 13,000 Nato troops currently in the country, 8,400 of them US.
US combat operations against the Taliban officially ended in 2014, but special forces have continued to provide support to Afghan troops.
