Copied directly from the Naruto wiki: Sage of the Six Paths:
"The older son, who inherited the Sage's "eyes" (his powerful chakra and spiritual energy), believed that power was the true key to peace. The younger son, who inherited the Sage's "body" (his powerful will and physical energy), believed that love was the true key to peace. On his deathbed, the Sage chose his younger son to be his successor. Overcome by bitterness and envy, the older son attacked the younger, beginning a war between them."
Naruto represents the younger son, Sasuke the older. Therefore Naruto won't get any "special" eyes because it would contradict who he represents.
So in answer to your question: NO, Sasuke will get the rinnegan.