NATO is considering naming its new headquarters after the late Sen. John McCain John Sidney McCainAnalysis: Biden victory, Democratic sweep would bring biggest boost to economy The Memo: Trump's strengths complicate election picture Mark Kelly: Arizona Senate race winner should be sworn in 'promptly' MORE (R-Ariz.), CNN reported on Wednesday.

Tom Tugendhat, a member of the Conservative party in the the UK parliament, reportedly sent NATO the request after McCain's death on Saturday. Tugendhat is the chair of the British foreign affairs committee.

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There can be no more fitting tribute to his career and the values that Sen. McCain espoused — but also no better message for NATO to send at this time of global tension — than to name its new headquarters building after the American statesman," Tugendhat wrote in his proposal, according to CNN.

NATO spokesperson Oana Lungescu told CNN that the alliance has received the request and it "will be considered carefully."

McCain was a staunch advocate for NATO and supported bringing on other European countries as members of the alliance.

The transatlantic alliance recently moved into the new billion-dollar Brussels headquarters.

"Very few people embodied the values that NATO is built on in the way Sen. John McCain III did," Tugendhat wrote.

It comes as Washington is debating how to best memorialize the longtime Arizona senator.

In the days following his death, there has been a push in the U.S. to rename the Russell Senate Office building after McCain, but the proposal has been met with some resistance from members of the GOP.