Two men who police think might be behind the sniper shootings - that have killed 10 people and injured three - have been arrested.
And an important lawyer who become involved in the case told a radio station: "There is a strong feeling these people are related to the sniper shootings."
He was also asked if he believed the sniper was still out there, replying: "No."
According to a member of President Bush's staff, the FBI are "reasonably sure" that the case is solved.
The two arrested men are John Allen Muhammad, 42, and 17-year-old John Malvo.
They were found sleeping in a car on a highway around 80km from Washington DC, and some reports say a rifle was found in the car.
The car has now been taken away by police so they can have a much closer look for evidence that might be inside it.