His lawyers say so, according to the AFP news agency.
Griner was sentenced to nine years in prison in August after being stopped at Moscow airport in February for possession of cannabis oil. The oil is used in electronic cigarettes.
Her lawyers do not yet know where she will be transferred in Russia, but are waiting to be informed. It may take up to two weeks before it becomes clear where she is.
The news caused anger in the United States and his prison sentence became big policy.
– Every minute Brittney Griner unfairly spends in captivity in Russia is one minute too many, says White House press secretary Karine Jean-Pierre.