Can a person who dribbles go out of bounds then back

[jking_94577]

I have seen previous posts on this but this scenario just happened in a game and I am not sure if he can be categorized into this. Here is the scenario:

The player is dribbling down court. He loses control of the ball all by himself. The ball is about to trickle out of bounds. The player manages to keep the ball in bounds by running after it without touching the boundary. However the momentum carries him past the line. The player then comes back in bounds and touches the ball. Is this legal?