(CBSDFW.COM/CNN) — Members of the Texas congressional delegation on both sides of the aisle are asking the Trump administration to reconsider its decision to halt direct funding to several coronavirus testing sites in the Lone Star State, where there has been a surge of COVID-19 cases.

The transition away from these federally funded sites began in April, but the latest debate over federal funding comes after President Donald Trump on Saturday lamented the rise in coronavirus cases in the US, blaming increased testing.

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At a campaign rally over the weekend, he said coronavirus testing was “a double-edged sword.”

“I said to my people, ‘Slow the testing down, please,’ ” the President added.

Administration officials have said that slowing down testing has not been requested and his comments were made “in jest,” but Trump maintains that he wasn’t kidding.

The federally funded testing program was intended to jump-start initial capabilities in critical areas across the US, according to the Federal Emergency Management Agency. But given Food and Drug Administration approval for individuals to self-administer nasal swab tests at sites, the demand for personal protective equipment and trained health care providers will be reduced, a FEMA spokesperson said in a statement in April, when the administration began its transition away from the program.

A Health and Human Services spokesperson confirmed to CNN that the 13 Community-Based Testing Sites, seven of which are in Texas including two in Dallas, would no longer receive direct funding.

“As we approach the agreed upon transition date of June 30 for the state-run sites, the federal government is broadening its community testing support to a more sustainable model,” the spokesperson said, adding that the transition will include “continued support of retail and pharmacy partnerships in more than 600 locations” and “offering COVID-19 testing at over 1,300 Federally Qualified Health Centers nationally.”

CNN reported in April that the transition away from the program received mixed reactions. While some localities may need federal support, others have already moved toward managing their own sites.

But several lawmakers from Texas, including Republican Sens. John Cornyn and Ted Cruz, say they do not understand why the federal assistance is being pulled as their state sees more and more coronavirus cases.

“Frankly, I didn’t understand what they were thinking,” Cornyn told CNN on Thursday.

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In a joint letter sent to Health and Human Services Secretary Alex Azar and FEMA Administrator Pete Gaynor on Thursday, Cornyn and Cruz urged the administration “to grant an extension of the program for the testing sites in Texas,” which they said are “critical to Texas’ testing capacity.”

“Texas is currently experiencing a rise in confirmed COVID-19 cases. In the last two weeks, daily new cases, the overall positivity rate, and hospitalizations in Texas have all increased. Some of the state’s largest cities — where these CBTS sites are located — are experiencing single-day records of new cases,” the letter said. “Now is not the time to end a program that is working and successfully increasing testing capacity — especially for underserved communities in the state. Due to the recent rise of COVID-19 cases in Texas, cities need additional time to prepare for the transition to state and local control of the testing sites.”

“The administration has taken important steps to provide Texas with the support and resources it needs to combat this crisis. I respectfully request you to continue the CBTS sites in Texas as testing capacity remains a crucial component to reopening the economy and ultimately defeating this disease,” the letter continued.

Four Texas Democrats in the House also sent a letter earlier this week urging Gaynor and US Surgeon General Jerome Adams to extend federal funding for the sites. Senate Minority Leader Chuck Schumer, a New York Democrat, has criticized the move, too.

There were initially 41 sites across 12 states and now, there are 13 in five states — Texas, Colorado, Pennsylvania, Illinois and New Jersey.

Assistant Secretary for Health Brett Giroir relayed on a call with reporters on Wednesday that states such as Texas could choose to fund the sites with the $10 billion-plus allocated to them last month to support coronavirus testing.

He said the federal government would “continue to increase testing across the board” despite Trump’s remarks.

“We’re going to increase the quality of testing. The diversity of testing. The accessibility of testing. And our targeting of testing to the needy and the vulnerable,” Giroir added.

Earlier this week, Texas Gov. Greg Abbott told CBS 11 News that the state was working on a different, “superior” strategy that would take the place of these testing sites. He said more information on this strategy will come within a week.

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