Dr. Christine Blanshard, the medical director at Salisbury District Hospital, said in a statement that 66-year-old Sergei Skripal "is responding well to treatment, improving rapidly and is no longer in a critical condition".
The father and daughter are recovering from the injuries they suffered in a nerve agent attack in Salisbury, Wiltshire, last month.
British scientists said this week they can't prove Russian Federation definitively manufactured the nerve agent used to poison the Skripals.
Yulia is conscious and talking in hospital.
In the video, she says: 'Dear Theresa May, Please can you as a human being help us to meet our family? A government source told the BBC it appears Russian Federation is "trying to use Viktoria as a pawn".
The UK Foreign Office said Thursday that Yulia Skripal has so far declined the Russian Embassy's offer of consular assistance following the attack.
"The stubborn refusal to cooperate, to provide transparency and to answer the numerous questions means Britain has something to hide", an embassy spokesman said.
"Yet people are demanding that the Russian Federation acknowledged its guilt", he said. However, senior United Kingdom officials told The Times that father and daughter "would likely never be the same again" and could "require ongoing medical care".
On April 5, UK's police stated on behalf of Yulia Skripal who said she "woke up over a week ago now" and is glad her strength is "growing daily".
"Any speculation on when that date will be is just that - speculation".
The incident has led to a spiraling diplomatic dispute between the two countries.
He said: "They can speak to investigators about their last movements, were there any threats, were there any other circumstances?" The Russian ambassador to the United Nations warned Britain that it was "playing with fire" and claimed that Russia was the victim of a hasty, sloppy and ill-intentioned defamation campaign by London and its allies.
The UK is, without a doubt, winning this particular war, even after some loose language from Foreign Secretary Boris Johnson about the work of Porton Down in identifying the Novichok nerve agent, which was quickly seized upon by Moscow.
British authorities have denied the cousin, Viktoria Skripal, a visa to visit the patients, the Home Office (interior ministry) said on Friday. This is a tribute to the hardworking and talented NHS staff in Salisbury who have provided outstanding care.
Its statement added: "This was attempted murder using an illegal chemical weapon that we know Russian Federation possesses".
At a U.N. Security Council meeting on Thursday, Russia's U.N. Ambassador Vassily Nebenzia claimed that Russia was the victim of a hasty, sloppy and ill-intentioned defamation campaign by London and its allies.
Nebenzia said Britain's main goal had been "to discredit and even delegitimise" Russian Federation and accused the government of waging a "propaganda war". She thanked those who had treated her and her father and all those who had sent "messages of goodwill".