The 28-year-old appeared in Latics' 3-1 victory over Huddersfield Town, coming on as a second half substitute.
The defender spent six years with Wolverhampton Wanderers and is eligible to face his former side Colchester United tomorrow in the Sky Bet League One opener.
This deal has been partly funded by the PlayerShare scheme and an interview with director Barry Owen will be available on the website next week.
To sponsor the defender's kit or training gear, please contact firstname.lastname@example.org
Elokobi will wear the number 5 shirt.