SEE RELATED STORY: Doctors kick off early push for flu shot: 'This is the time to start getting prepared'
The 54-year-old woman had several pre-existing conditions and was stable in the hospital.
SEE RELATED: Mother beats COVID-19 after battling flu at the same time
Doctors around the world are concerned there may be more of these cases throughout the flu season.
They said having one of the viruses makes people more vulnerable to getting the other.
In the U.S., the latest numbers of COVID-19 cases have climbed after more than 50,000 new cases were reported for four straight days.
In Texas, the number of confirmed cases neared 800,000 as of early October.
SEE RELATED: How coronavirus compares with the flu
The video above is from a previous story.