The attack took place on the 1st SFAB's first deployment to Afghanistan.
About 50 civil society activists in Kabul rallied on Thursday against corruption.
Taliban spokesman Zabihullah Mujahid said "Our country will not be used against anyone. They should not be concerned."
The infected staff are in isolation in the embassy while the remainder on the compound are being tested.
Violence has spiked in recent weeks in Afghanistan with most of the attacks claimed by the ISIS affiliate.
An Afghan commando who fatally shot a Utah mayor had planned the killing for weeks, according to an Army report.
The U.S. strikes against the Taliban were the first following a brief cease-fire declared by the insurgents.
In a statement on an ISIS-affiliated website, the group said Tuesday’s attack in Kabul targeted a prayer leader.
The U.S.-Taliban accord, signed in February, was meant to allow for American troops to gradually leave Afghanistan.
Saboor's attack on two U.S. advisers led to significant restrictions on how the U.S. worked with Afghan partners.