Pauline Cafferkey was readmitted to a specialist isolation unit at the Royal Free Hospital in London this month.
She was being treated for complications after tests showed the infection was still present in her system.
"We are able to announce that Pauline Cafferkey's condition has improved to serious but stable," a hospital statement said.
Last week her condition was described as "critical", but the hospital said she was now "serious but stable".
She spent almost a month in isolation at the Royal Free at the beginning of the year after the virus was detected when she arrived back in the UK.
She was later discharged after apparently making a full recovery, though she was readmitted to a hospital on October 6 after her condition deteriorated.
She contracted the disease while using a visor rather than goggles to treat patients at the facility, an internal investigation by Save the Children found.
While there have been reports of virus lingering in the eyes of survivors and of transmission through semen, Cafferkey is the first known person to have a serious recurrence ofEbolaviral disease.
The World Health Organisation (WHO) admits not much is known about the long-term implications after havingEbola.
More than 11,000 people in West Africa died during the recent outbreak.
Last week there were no new cases for the first time since March 2014.
