"Thank God for these angels," one person wrote on Twitter.
"Bless both of them," another Twitter user replied.
Varon had been interviewed on CNN the day before, discussing the surge of Covid-19 cases in the hospital in Houston.
"For the last few days, we've had a steady increase in the number of cases," he said.
"There is no question that patients are coming in ... sicker, because they are waiting longer to go to the hospital."
The doctor, who has been working non-stop since the pandemic began, urged his fellow Americans to take the virus seriously.
He fears the country could be headed into its "darkest days".
"Unfortunately, my concern for the next six to 12 weeks is that if we don't do things right, America is going to see the darkest days in modern American medical history," he said.
"My hospital is full. I just opened two new wings so that I can accommodate for the next few days because I know that a lot of people are going to get sick after Thanksgiving."
"My nurses in the middle of the day, they will start crying ... When they finish finally getting a patient in, they get a phone call from the ER that there is another patient that is being admitted," he added. "How have I done it? I don't know. I'm running out of fumes."
