Sasuke might activate his Rinnegan, but like the Madara (pre-impure world) he won't be able to use it either. The Rinnegan drains the life force of the user. That's why Madara gave to Nagato who is an Uzumaki. Nagato died looked older than Jiraiya, who was a lot older.
Everyone to ever use the Rinnegan had a Senju/Uzumaki powerup:
--The Sage of Six Paths "evil" son inherited the eyes of the Sage but he still had the same DNA as his brother.
--Nagato is an Uzumaki. Shouldn't need to explain that one.
--Tobi/Obito is half Zetsu. Zetsu is made from Senju DNA
--Impure world Madara has the face of Hashirama Senju growing out of his shoulder.
Sasuke can possibly awaken the Rinnegan but he won't be able to use it without a Senju/Uzumaki powerup... Sorry
Don't know how to add photos... But,
1. Nagato vs. Hanzo you can look at the before and after photo. He loses some years from the Rinnegan techs.
2. He's hair went from Uzumaki red to gray from over using the Rinnegan before his death
there is no proof that rinnegan needs senju/uzumaki power to be used.madara used it to summon gedo statue to absorb chakra from it but he was too old to use it frequently when he awakened it.but sasuke is quite young and chakra similar to madara in young form as accepted by kurama.so sasuke can use rinnegan to full extent without senju/uzumaki power.