(CNN) Yulia Skripal, the daughter of former Russian spy Sergei Skirpal, has been discharged from the British hospital where the pair were being treated for a nerve-agent attack just over a month ago.

The medical director of Salisbury District Hospital, Chrisine Blanshard, said Yulia Skripal would require further treatment but that the development was a "significant milestone." Her father was making "good progress," Blanshard said.

The Skripals were found slumped on a bench on March 4 in the city of Salisbury after being exposed to a military-grade nerve agent, British authorities said. The UK government blames Russia for the attack, but Moscow has denied any involvement.

Yulia Skripal has been discharged from hospital.

Yulia Skripal, 33, regained consciousness in late March and released a statement last week thanking those who treated her and father and those who had sent "messages of goodwill."

"Yulia has asked for privacy from the media and I want to reiterate that request," Blanshard said in a statement delivered outside the hospital on Tuesday. Blanshard made no mention of Skripal's present location, and London's Metropolitan Police refused to comment on whether she was receiving police protection.

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