Simply flying so close to Earth's gravitational field in 2035 could also alter its orbit, potentially putting it on a collision course. Dante Lauretta, OSIRIS-REX principle investigator said that if that happened Bennu "may be destined to cause immense suffering and death".
Nasa said the asteroid is too small to completely destroy the Earth, but it could devastate a large area on impact. The space rock that is believed to have wiped out the dinosaurs was six miles (10km) across, 20 times larger than Bennu.
The mission will also lay the foundations for future programmes to reorientate asteroids that threaten Earth.
"If astronomers someday identify an asteroid that presents a significant impact hazard to Earth, the first step will be to gather more information about that asteroid," said Edward Beshore, Deputy Principle Investigator for the mission.
"Fortunately the ORISIS-REX mission will have given us the experience and tools needed to do the job."
Prof Daniel Scheeres, of the University of Colorado, who is leading the radio science team, added: "By visiting Bennu we can very precisely determine its orbit, determine the physical forces affecting it, and do a much better job of predicting where it will be in the next couple of hundred years.
"By then we should know if we need to start building a giant space tugboat." The mission will also take samples to find out more about the origins of life. Many scientists believe that asteroids and comets brought the first building blocks of life, and water, to Earth.