Sen. Lindsey Graham, R-S.C., recommended on Friday that President-elect Trump nominate fellow former GOP presidential candidate, Sen. Ted Cruz of Texas, to fill the vacant Supreme Court seat.

"I'm here to tell my Democratic colleagues that I voted for Obama's nominees. I expect them to give Trump's nominees a fair shake. He won this election. He will pick a conservative. I would put Ted Cruz on that list," Graham told WYFF-TV on Friday, while at a Veterans Day ceremony at Greenville Memorial Hospital.

Graham added that Trump should scope out the Senate before looking at his own list of 20 potential judges.

"There are some really strong people in there. And there is no stronger constitutional conservative than Ted Cruz," said Graham.

Since the GOP-led Senate has refused to hold a hearing for President Obama's nominee, Merrick Garland, the incoming Republican president will have first pick in January. Conservative columnist Jonah Goldberg proposed on Friday that a Cruz nomination could win bipartisan support because Democrats want to get the outspoken constitutional conservative out of their chamber, though it would leave the highest court with five conservative judges and four liberals.

Trump has said he may consider nominating Cruz's Tea Party ally, Utah Sen. Mike Lee, who said he was not interested in the position. Goldberg said the same may be the case for Cruz, adding, "I don't think Cruz" wants the lifetime post.