Sen. Ted Cruz Rafael (Ted) Edward CruzSenate Republicans face tough decision on replacing Ginsburg Cruz: Trump should nominate a Supreme Court justice next week Renewed focus on Trump's Supreme Court list after Ginsburg's death MORE (R-Texas) on Friday said he isn't interested in being nominated to the Supreme Court.

"That is not a desire of my heart," Cruz said during an interview with WBAP in Texas when asked if he had aspirations to become a justice.

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"I have had several opportunities in the past to go to the bench, and I certainly deeply respect the job the justices do," Cruz said.

Trump, however, indicated earlier this month that he'd "have to think about" nominating Cruz.

"I think we need a strong conservative president who will appoint not just one but two, three, four five Supreme Court justices who are principled constitutionalists," Cruz said Friday.

But the Texas senator indicated he's more interested in staying in Congress. "I believe that I can do a great more good fighting across the political spectrum," Cruz said, calling for "leadership" to repeal ObamaCare, abolish the IRS and fight "radical Islamic terrorism."