President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE on Tuesday praised Arizona Gov. Doug Ducey's selection of fellow Republican and former Sen. Jon Kyl to succeed Sen. John McCain John Sidney McCainCindy McCain endorses Biden: He's only candidate 'who stands up for our values' Biden says Cindy McCain will endorse him Biden's six best bets in 2016 Trump states MORE (R-Ariz.) in the Senate, saying Kyl will be "an extraordinary Senator."

"Jon Kyl will be an extraordinary Senator representing an extraordinary state, Arizona," Trump tweeted. "I look forward to working with him!"

Jon Kyl will be an extraordinary Senator representing an extraordinary state, Arizona. I look forward to working with him! — Donald J. Trump (@realDonaldTrump) September 4, 2018

Kyl, who previously served in the Senate for 18 years before leaving in 2013, was tapped by Ducey earlier Tuesday to fill the vacant Arizona Senate seat ahead of 2020, when a special election will be held for a permanent successor to McCain.

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The former senator-turned GOP lobbyist said during a press conference with Ducey in Phoenix that he will serve in the Senate at least until the end of the current Congress in January.

Kyl has not committed to serving in 2019 and 2020, and he told reporters on Tuesday that he is not interested in running for the seat in 2020.

“I’m willing to serve certainly through the end of this session at least to make sure that the business that is currently ongoing is taken care of,” Kyl said. “But I don’t want to make a commitment beyond that.”

Kyl, 76, served alongside McCain in the Senate for nearly two decades and rose to the No. 2 position of Senate Republican whip. Kyl has most recently been acting as Supreme Court nominee Brett Kavanaugh’s "sherpa" on Capitol Hill, helping guide him through the nomination process.

Trump long had a fraught relationship with McCain, who died late last month after a more than yearlong battle with brain cancer. The president was not invited to the GOP senator's funeral over the weekend, though his daughter Ivanka Trump Ivana (Ivanka) Marie TrumpSpecial counsel investigating DeVos for potential Hatch Act violation: report Trump, Biden vie for Minnesota Trump luxury properties have charged US government .1M since inauguration: report MORE and son-in-law Jared Kushner Jared Corey KushnerAbraham Accords: New hope for peace in Middle East Tenants in Kushner building file lawsuit alleging dangerous living conditions Trump hosts Israel, UAE, Bahrain for historic signing MORE attended, among other administration officials.