Side Preference

Does anybody else's little one appear to prefer one side more than the other while nursing? Mine prefers the left but my right seems to produce more quicker. He nurses longer on the left and I often pull him off when he hits over 12 minutes. But then he'll only nurse for 2-3 minutes on the right! He seems satisfied, plenty of wet diapers, and I don't feel engorged. Just wondering if I should start him on the right every time or just let it be with alternating each side as I have been... thoughts?