Ingmar Guandique, 27, was transferred Thursday from the Adelanto, Calif., prison where he was serving a 10-year sentence for an assault conviction, Federal Bureau of Prisons spokeswoman Felicia Ponce said. He was taken to the bureau's federal transfer center in Oklahoma City.
Ponce could not say where Guandique was headed or how long he would be in Oklahoma.
"Where an inmate is going to be held is not public information until they arrive," she said.
District of Columbia police issued an arrest warrant March 3 for Guandique, accusing him of sexually assaulting and killing Levy on a trail in Rock Creek Park in May 2001. Her remains were found in the Washington park a year later. Guandique faces a first-degree murder charge in the death of the Modesto, Calif., native.
Authorities have said Guandique was expected to be brought to Washington within 30 to 60 days of the arrest warrant.
Channing Phillips, a spokesman for the U.S. Attorney's Office for the District of Columbia, said Friday that he did not know when Guandique would arrive.
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D.C. police spokeswoman Gwendolyn Crump said the U.S. Marshals Service is handling Guandique's transfer to Washington.
"We don't have a set date as to when he will arrive in D.C.," Crump said.
Officials with the U.S. Marshals Service could not be immediately reached for comment.
Guandique was sentenced in 2002 for attacking two women in the same park around the time of Levy's disappearance.
Maria Hawilo, Guandique's public defender, said she had no comment.