The World Health Organization (WHO) says there has been a decline in the spread of Ebola in Liberia, the country hardest hit in the outbreak.
The WHO's Bruce Aylward said it was confident the response to the virus was now gaining the upper hand.
But he warned against any suggestion that the crisis was over.
The WHO later said the number of cases globally had risen more than 3,000 to 13,703 since its last report, but that this was due to reporting reasons.
The number of deaths was put at 4,920, roughly the same as the last report four days ago. All but 10 of the deaths have been in Liberia, Sierra Leone and Guinea.
In other developments:
- A US man sues after his daughter's school in Connecticut bars her from attending amid fears she may have been exposed to Ebola
- US Defence Secretary Chuck Hagel says US troops returning from Ebola missions will be kept in isolation for 21 days
- US joins 30 other nations from the Americas at an Ebola conference in Cuba
- In UK, an umbrella of charities - Disasters Emergency Committee - is to launch an Ebola appeal
The latest WHO figure of 13,703 cases is a significant leap on its previous situation report on Saturday, which showed cases rising above 10,000 for the first time - to 10,141.
But Dr Aylward, the WHO's assistant director general, said that this increase was due to data being updated with old cases, rather than new cases being reported.
Saturday's situation report put the death toll at 4,922.
The similar death toll in the latest report was mainly a result of a revision of the Liberian statistics.
Cases there rose from 4,655 to 6,535 but reported deaths dropped from 2,705 to 2,413.
Deaths in Guinea rose from 926 to 997 and in Sierra Leone from 1,281 to 1,500.
Liberia's Red Cross said its teams collected 117 bodies last week, down from a high of 315 in September. Treatment centres also have empty beds available for patients.
Dr Aylward said : "It appears that the trend is real in Liberia and there may indeed be a slowing."
"Do we feel confident that the response is now getting an upper hand on the virus? Yes, we are seeing a slowing rate of new cases, very definitely."
Dr Aylward said there had been "a huge effort to inform the population about the disease, to change the behaviours that put them at risk".
And he said there had been "a real step up in the work to put in place safe burials".
But Dr Aylward said the data was still being examined and cautioned against thinking the crisis was over.
He said: "A slight decline in cases in a few days versus getting this thing closed out is a completely different ball game.
"It's like saying your pet tiger is under control."
Later, US President Barack Obama praised the progress made in Liberia, but also warned: "This is still a severe, significant outbreak... We've got a long way to go."
He said again that the disease had to be tackled at its source in West Africa, adding: "If we don't deal with the problem there, it will come here."
Until Ebola was contained, he said, there could be more individual cases in the US.
On Wednesday, South Africa's first black billionaire, Patrice Motsepe, donated $1m (£620,000) to Guinea to help the country fight Ebola.
The mining magnate said he hoped it would assist with clinical management, social mobilisation and other key steps in controlling the deadly virus.
His donation was announced as the US welcomed the international aid effort.
Ebola virus disease (EVD)
- Symptoms include high fever, bleeding and central nervous system damage
- Spread by body fluids, such as blood and saliva
- Fatality rate can reach 90% - but current outbreak has mortality rate of about 70%
- No proven vaccine or cure
- Fruit bats, a delicacy for some West Africans, are considered to be virus's natural host
Have you been affected by the issues raised in this article? You can share your experience by emailing email@example.com