It is expected that the 1,200 troops will be reinforced with a full battalion.
Meanwhile, Iraqi doctors are condemning the ominous silence of Arab governments.
"Where are the dogs of the Arab League, the cowards hiding all these Arabs who say they are Arab as they watch hundreds of civilians die? Where are they? Fallujah is dying, the American filth are killing an entire city," Fallujah doctor Bassam Al Qufeili told Arab media.
Meanwhile, three Iraqi resistance fighters were reported killed in Mosul, seven Mahdi Army militiamen in Ramadi and three others in a firefight with Iraqi police in central Baghdad.
As for the abducted former U.S. serviceman working as a private security guard, his captors aired a video of the man, looking visibly scared, an Iraqi flag adorning a wall behind him. His captors threatened to execute him if U.S. forces do not pull out of Fallujah.
Iraq experts are warning foreigners that they are now targets in Iraq.
It is unknown whether U.S. authorities are trying to negotiate the American's release.
YellowTimes.org correspondent Firas al-Atraqchi drafted this report.