Mr McCain died on Saturday, aged 81, after choosing to end medical treatment for brain cancer. We never hide from history. Vice President Mike Pence is likely to attend, said the officials, who spoke on condition of anonymity to describe private discussions.
On Sunday, he emphasized that the building would be better named to honor McCain, as the late Arizona senator was an "antidote when he saw bigotry". As he was peppered with questions about McCain's legacy, the usually talkative president made no response.
McCain, a prisoner of war in Vietnam, longtime US senator from Arizona and 2008 Republican presidential nominee, died of brain cancer on Saturday at age 81.
Senate chaplain Barry Black, a Navy rear admiral, observed in his opening prayer that McCain had a 'sacrificial willingness to take the road less traveled, to rise above partisanship, to provide a profile in courage and to give his life in service'.
In 1956, Russell was a co-author of the "Southern Manifesto", which opposed desegregation of public places, and he led the Southern bloc of senators who opposed the Civil Rights Act of 1964, calling it "shortsighted and disastrous". At the same time, he said he'd accede to the family's request that he stay away from McCain's funeral services.
But they were flying at full-staff by Monday morning, even as the flags at the US Capitol remained at half-staff.
Ducey does not plan to announce his selection of a Senate successor to McCain until after McCain's burial. Over the weekend, some candidates and political organizations led get-out-the-vote efforts.
Tributes poured in from around the globe. The senator asked that he be buried at the U.S. Naval Academy in Annapolis, Maryland, near the grave of a long time friend, something he told Lesley Stahl on "60 Minutes" in September 2017.
French President Emmanuel Macron tweeted in English that McCain "was a true American hero".
"It's tough, I'm going to miss him, I've admired him my entire life", Flake said, holding back tears. "His significance went well beyond his own country". His support for Israel never wavered. Trump, meanwhile, said in 2015 that McCain wasn't a war hero because he was a prisoner of war in Vietnam.
McCain was first elected to the U.S. House of Representatives in 1982, and, after serving two terms, was elected to the U.S Senate in 1986.