"Conditions are sparse, as is common here. She is in 'protective custody' and thus kept in her own unit," he said.
Protective custody is a type of imprisonment in which high-profile prisoners are kept away from other inmates for their own safety.
Driscoll said he has visited Butina several times since her arrest. Another lawyer from his firm visits her almost every day, he added.
The lawyer has emphasized that his client is allowed to make phone calls. However, he added that "the logistics of setting up and funding the appropriate account have taken time."
Butina was arrested in Washington DC on July 15 on charges of acting as an agent of a foreign government, an accusation she has denied.
Maria Butina was denied bail and is being kept in custody on the grounds that she allegedly constitutes a flight risk. She faces up to 15 years in jail.
US media stated that Butina made use of the NRA to allegedly gain access to the Republican Party.
Russian Foreign Ministry spokeswoman Maria Zaharova said Butina was detained right before the summit between US President Donald Trump and Russian President Vladimir Putin in Helsinki in an effort to minimize the positive outcomes of the meeting.