Davis, 56, pleaded guilty last August to one count of a two-count federal indictment.
The charge claimed he intentionally possessed, with intent to distribute, more than 50 grams or 1 3/4 ounces of methamphetamine.
Federal court documents show the U.S. Marshals Service delivered him Jan. 18 to Beaumont, Texas, Federal Correctional Institution.
The court also recommended he participate in a residential drug and alcohol program while in prison.