The SpaceX website states the following:
The Dragon spacecraft is scheduled to fly at least 11 more times and the Falcon 9 launch vehicle is scheduled to fly 17 times before the first Dragon crew flight.
Unless SpaceX starts producing Falcon 9s left and right, with payloads manifested and fees for payload integration and launch in to orbit paid, it’s going to be a little while before we see Americans going into space on their own rockets.