Auburn coach Gus Malzahn said Tuesday that Bigsby is still dealing with a hip injury that knocked him out of last weekend's win over Tennessee.
Bigsby, who has appeared in all five games this season, has a team-leading 527 rushing yards and five touchdowns. He has also caught four passes for 16 yards.
"Hopefully by the end of the week, we'll have an idea of whether he'll be able to go or not," Malzahn said.
Shivers has rushed for 184 yards on 32 carries, while Williams has picked up 179 yards on 36 carries.
On the other side of the field will be one of the nation's top running backs in Alabama's Najee Harris.
Harris has rushed for 797 yards and leads all FBS players with 16 rushing touchdowns.