President didn't disclose 1st positive test, sources say

The president had already tested positive Thursday when he appeared on Fox News.

Last Updated: October 5, 2020, 7:58 AM EDT

President Donald Trump's condition is continuing to improve as he fights a coronavirus infection, doctors say, and he may be able to leave Walter Reed Medical Center as early as Monday -- even as details emerge that the president allegedly initially tested positive for COVID-19 earlier than he acknowledged.

Doctors also reported that Trump, over the course of exhibiting coronavirus symptoms, had earlier experienced two episodes of "transient drops" in his oxygen saturation.

Yet the president was feeling well enough Sunday evening to briefly leave Walter Reed for a surprise drive-by, waving to supporters outside the hospital.

Meanwhile, numerous questions remain about how many people at the highest levels of government had been exposed to the virus after a week of events involving the president where social distancing and mask-wearing were lax in the White House and elsewhere.

Sunday's headlines:

Here is how the news developed on Sunday. All times Eastern.
Oct 04, 2020, 11:47 AM EDT

Trump continues to improve, doctors say

President Trump's condition has continued to improve, physician to the president Dr. Sean Conley told reporters on Sunday. He has not had a fever since Friday morning and is not complaining of shortness of breath.

Oct 04, 2020, 11:15 AM EDT

Briefing expected outside Walter Reed

A press conference will be held around 11:30 a.m. outside Walter Reed Medical Center, the White House told the press pool, as Trump continues undergoing treatment for the coronavirus.

The briefing is expected to be from Dr. Conley and the president’s medical team.

Oct 04, 2020, 9:51 AM EDT

Nearly 3 in 4 think Trump did not take appropriate virus precautions: POLL

As President Donald Trump remains hospitalized at Walter Reed National Military Medical Center after contracting COVID-19 this week, nearly 3 out of every 4 Americans doubt that he took seriously the threat posed to his well-being nor the steps necessary to avoid contracting the virus, according to a new ABC News/Ipsos poll released Sunday.

In two separate questions, an identical 72% said that Trump did not take the "risk of contracting the virus seriously enough," nor "the appropriate precautions when it came to his personal health." The poll was conducted by Ipsos in partnership with ABC News using Ipsos' Knowledge Panel on Friday and Saturday, following Trump's positive test early Friday morning.

In each of the two questions, over 2 in 5 (43%) Republicans hold the negative sentiments about Trump's mindset and preventative actions regarding the coronavirus, compared to 95% and 94% of Democrats, respectively.

-ABC News' Adam Kelsey

Oct 04, 2020, 9:35 AM EDT

White House senior adviser Stephen Miller tests negative, campaign adviser says

Trump campaign senior adviser Jason Miller told ABC News chief anchor George Stephanopoulos on ABC's "This Week" on Sunday that White House senior adviser Stephen Miller, who was part of Trump's debate preparations last Monday, has tested negative for the coronavirus.

Jason Miller has also tested negative for COVID-19.

ABC News has confirmed that five out of nine known participants in Trump's debate preparations have tested positive, including campaign manager Bill Stepien, former senior adviser Kellyanne Conway, former counselor Hope Hicks and former New Jersey governor and ABC News contributor Chris Christie.