That makes it clear that he doesn't carry the barring genes. So sex linked chicks when he is crossed with a barred hen will work. All male chicks will have head spots, and females will not.
I agree with what has said, but it's only going to work if you're absolutely certain the father has no barring gene. Sometimes the barring can be quite subtle, especially if it is on a blue rooster, and it won't show on a white rooster.