He gets the Ultigan... (Ultimate eye)
Naruto represents the will of the Rikudo Sennin, nothing more. Since Sasuke represents the eye power it would by kinda strange to give the Rinnegan to Naruto. Then, Naruto would be anyways too powerful.
How can you say that, when the Tailed-Beasts have already acknowledged Naruto as the Sages reincarnation?
It's unlikely, but I think he'll get them somehow. To all people saying that "he will be to OP and it'll be unbalanced" you need to realise that Naruto is destined to become super-massive-awesomely powerful. Sasuke won't/can't keep up forever.