Eric Williams of ESPN provided the update Friday.
The 25-year-old rusher also sat out last week's win over the Pittsburgh Steelers.
Austin Ekeler took over as the Chargers' starter at running back with Gordon out of the lineup. But it was Justin Jackson who shined with eight carries for 63 yards and a touchdown in Week 13.
Both backup running backs will likely see ample playing time against the Bengals unless a hot hand emerges.