He warned the media that nobody else speaks on behalf of his father, who is still in a hospital.
"I thank my cousin Viktoria for her concern for us, but request that she not visit me or try to contact me for the time being," said Yulia Skripal. "Your opinions and affirmations are not mine and are not my father's"
& # 39; A totally different life & # 39;
Skripal said that "specially trained officers" are helping to take care of her while trying to reach an agreement with her situation.
"I am in a totally different life from the one I left a little over a month ago, and I am trying to reach an agreement with my perspectives," he said.
The Russian Embassy has "kindly offered their help," he said, but adding that he does not want any help from them now and will contact them if he changes his mind.
Russian authorities have spoken publicly about their requests for access to Yulia Skripal in the days and weeks after the attack, and about their offers of help since she regained consciousness. In a tweet on Tuesday, the Russian embassy in the United Kingdom requested "urgent evidence that what is done is done of its own accord".
Spiral diplomatic conflict
Skripal, 33, regained consciousness at the end of March, several weeks after the poisoning that left her and her father, the former Russian spy Sergei Skripal, 66 years, in critical condition. The couple found themselves slumped on a bench in Salisbury, where Sergei Skripal lived, on March 4 after being exposed to the military-grade nerve agent novichok, according to British authorities.
The government of the United Kingdom blames to Russia for the attack, but Moscow has denied any participation. The incident has led to a diplomatic spiraling dispute between Russia and the United Kingdom.
Christine Blanshard, medical director of the Salisbury District Hospital, said on Tuesday that Sergei Skripal's condition was also improving, albeit at a slower pace than Yulia. Currently, its location is unknown and the Metropolitan Police has refused to comment on whether it is receiving police protection.
Father still "seriously ill"
In her statement on Wednesday, Yulia Skripal said that she had been treated "with obvious clinical experience and … goodness", but that she "is still suffering with the effects of the nervous agent "and that his father remains" seriously ill ".
"I'm sure and I feel better as time goes by, but I'm still not strong enough to give a full interview to the media, as I hope to do one day, "he said.
He also confirmed that he has access to family and friends.
Steve Almasy and Simon Cullen of CNN contributed to this report.