Covid-19: latest on the surge in US cases?
The spike has led officials in Texas, Florida and other states to tighten restrictions on business again, with warnings that hospitals may soon be overwhelmed.
On Sunday, Mr Abbott said that as many as 5,000 people a day were being admitted to hospital for treatment.
US Vice-President Mike Pence said that Texas would be issued additional Covid-19 testing kits for as long was necessary.
“We are going to make sure that Texas, and your healthcare system in Texas, have the resources, have the supplies, have the personnel to meet this moment,” Mr Pence said.
The vice-president also urged Texans to wear masks “wherever its indicated”, saying “we know from experience, it will slow the spread of the coronavirus”.