There is a high possibility,and i think he will awaken it.But your wrong when you said after the war.I personaly think it will be after a couple of years untill he awakens the rennigan.Madara awakened/unlocked the EMS years before his battle with hashirama,and thus had great mastery and control over it,so kishi wont give sasuke the rennigan since sasuke just started using EMS.Sasuke will probably awaken the rennigan in the future,when he will be older(adult,maybe around Madaras age at the battle of the valley of end) and much more experienced,and with more mastery over the EMS.
It has been seen in the manga that if a uchiha awakens the MS or the EMS,he has a lot of experience using the previous form of his sharingan.When sasuke awakened the MS,he had 3 years of experience and mastery using his sharingan,so his sharingan was ready to evolve.
This proves you need mastery and experience using the previous form of your dojutsu(EMS),in order to naturaly awaken a new dojutsu(rennigan).