OPINION AND ORDER DENYING DEFENDANT'S MOTION TO MODIFY SENTENCE

THOMAS L. LUDINGTON, District Judge.

On August 4, 2011, Jeffrey McBay pled guilty to uttering counterfeit securities pursuant to a Rule 11 Plea Agreement. See Rule 11 Agreement 1, ECF No. 14. On November 18, 2011, McBay was sentenced to 30 months' imprisonment (to run consecutively to the custodial sentences he was serving with the Michigan Department of Corrections). J. 2, ECF No. 21. McBay was also ordered to pay restitution in the amount of $13,281.98. Id. On March 22, 2012, the Court issued an amended judgment to reduce the restitution amount owed by McBay to $12,644.47. Am. J. 1, ECF No. 22. The amended judgment did not affect McBay's custodial sentence.

On May 31, 2013, McBay filed a motion to modify judgment of sentence. He requests that his federal sentence be altered to run "concurrent to [his] state sentence" because he "would be able to settle any and all restitution orders more quickly by obtaining employment." Def.'s Mot. 1, ECF No. 23.

However, as the government pointed out in its responsive brief, this Court lacks "jurisdiction to consider [McBay's] claim." Pl.'s Resp. 3, ECF No. 25. It is true that 18 U.S.C. § 3585(b) provides that "[a] defendant of a federal crime has a right . . . to receive credit for certain time spent in official detention before his sentence begins." United States v. Wilson, 503 U.S. 329, 330 (1992). But "the Attorney General, through the [Bureau of Prisons], has the responsibility for administering the sentence," not the district court that imposed it. Id. at 335 (citing 18 U.S.C. § 3621(a)). Thus, the Supreme Court established that any credits under § 3585(b) must be computed by the Attorney General, not the sentencing court. Id. at 333-34. Prisoners may "seek judicial review of these computations," but only "after exhausting their administrative remedies." Id. at 335 (collecting cases); see also United States v. Smith, 145 F.3d 1334, 1998 WL 246404, at *1 (6th Cir. 1998).

A prisoner may seek review of the computation of any credit pursuant to the process set forth by 28 C.F.R. §§ 542.10-542.16, and only once that process is exhausted, the prisoner may seek judicial relief pursuant to 28 U.S.C. § 2241. Id. McBay has not demonstrated that he has exhausted his administrative remedies under §§ 542.10-542.16, and this Court lacks jurisdiction over his request.

Accordingly, it is ORDERED that McBay's motion to modify judgment of sentence, ECF No. 23, is DENIED.