Taisia Osipova, the wife of an activist with the Other Russia political party, had been sentenced to 10 years in prison on drug charges, a term that members of the opposition called excessive.
Medvedev addressed her case at a meeting with Moscow State University journalism students in January, promising to ask prosecutors to review it.
At a hearing on Tuesday, a judge ordered that Osipova remain in jail until June 15 while her case is being reexamined.
Her supporters contend that she should be released from pre-trial detainment because she suffers from diabetes, among other illnesses, and has a young child.
Osipova's lawyer Svetlana Sidorkina said they will appeal the judge's decision.
A Message from The Moscow Times:
Dear readers,
We are facing unprecedented challenges. Russia's Prosecutor General's Office has designated The Moscow Times as an "undesirable" organization, criminalizing our work and putting our staff at risk of prosecution. This follows our earlier unjust labeling as a "foreign agent."
These actions are direct attempts to silence independent journalism in Russia. The authorities claim our work "discredits the decisions of the Russian leadership." We see things differently: we strive to provide accurate, unbiased reporting on Russia.
We, the journalists of The Moscow Times, refuse to be silenced. But to continue our work, we need your help.
Your support, no matter how small, makes a world of difference. If you can, please support us monthly starting from just $2. It's quick to set up, and every contribution makes a significant impact.
By supporting The Moscow Times, you're defending open, independent journalism in the face of repression. Thank you for standing with us.
Remind me later.