Woodson said that although Jackson was being looked at by a number of clubs, including the New York Jets, he was the sort of player that former owner Al Davis would have been in for.
"Bring him in," Woodson told KGMZ-FM. "I think he would look good in the silver and black. Of course I know the business side of it, but I've watched this guy and what he is, is a dynamic football player.
"There is no question in my mind that this is the type of player that Al would bring in. You hear about the off-field stuff but I don't think Al would concern himself with that too much. I think Al would do his homework. But I think he would take a serious hard look, and if there was an opportunity I think he would bring that guy in."
Jackson has spent six years in the NFL so far, all with the Philadelphia Eagles.