"The public health infrastructure and systems that we are now putting in place across the board around the country should give the American people confidence that we're going to be in a position to deal with any additional cases of Ebola," Xinhua quoted Obama as saying after meeting his new Ebola response coordinator Ron Klain and other officials in the Oval Office.
Obama mentioned "a number of things" that made him "cautiously optimistic," including the clearance of dozens of persons who had initial interaction with the now deceased Thomas Eric Duncan, the first person diagnosed with Ebola on US soil.
He reported that two nurses from the Texas Presbyterian Hospital who were infected while treating Duncan "seem to be doing better" and that the spirits of co-workers of the two infected nurses whom he spoke to earlier in the day "were good".
Obama also said he is "very happy" about the news that two American patients, who got Ebola in West Africa but were brought back for treatment, have been released from the hospital this week.
He reassured Americans that the prospect of an outbreak in the US is "extremely low."
Earlier, the U.S. government announced all travellers from West African Ebola-affected countries will be actively monitored for 21 days, the incubation period for the deadly virus.