Woodruff, 44, is undergoing intense therapy focused on the "thinking process" with the goal of returning to work as soon as possible, his brother, David Woodruff, told Friday's Los Angeles Times.
Most of the exercises deal with cognitive functions, Woodruff said, referring to the therapy as "exercising the brain."
David Woodruff said his brother converses normally and does not display changes that sometimes affect people with head injuries.
"He's emerged from such a serious injury with so much of everything about him intact: his wit, his humor, just his personality," he said.
Woodruff and ABC cameraman Doug Vogt were injured Jan. 29 when a roadside bomb north of Baghdad hit the military vehicle carrying them. Vogt was not as seriously injured as Woodruff and returned to France with his family in February.