Any move to deploy more forces to the Middle East would signal a shift for US President Donald Trump, who has repeatedly emphasised the need to reduce America's troop presence in the region.
US officials have provided few details about possible Iranian threats, but indicated they initially involved missiles loaded onto small Iranian boats.
This week officials said the missiles have been taken off the boats near Iran's shore, but other maritime threats continue.
Sending more troops could also raise questions on Capitol Hill.
During back-to-back closed briefings for the House and Senate yesterday, defence leaders told congressional officials the US doesn't want to go to war with Iran and wants to de-escalate the situation.
Acting Defence Secretary Patrick Shanahan and Secretary of State Mike Pompeo told lawmakers the US is seeking to deter, not provoke, Iran, even while accusing Tehran of threatening US interests in the Mideast.
Shanahan told reporters: "Our biggest focus at this point is to prevent Iranian miscalculation."
Many in Congress are sceptical of the Administration's approach to Iran, questioning whether it is responding to significant new Iranian threats or escalating a situation that could lead to war.
In early May, the US accelerated the deployment of an aircraft carrier strike group to the Mideast and sent four B-52 bomber aircraft to the region. The Pentagon also decided to move a Patriot air-defense missile battery to an undisclosed country in the area.
The Trump Administration has evacuated nonessential personnel from Iraq, amid unspecified threats the administration said are linked to Iranian-backed militias in the country.
-AP