McCain will be buried Sunday at the U.S. Naval Academy in Annapolis, Md.
Sen. Lindsey Graham, one of John McCain's closest friends in the Senate, said President Donald Trump has the "right to feel anyway he likes" about the late senator. After news broke of McCain's death, Trump wrote in tweet: "My deepest sympathies and respect go out to the family of Senator John McCain. Our hearts and prayers are with you!"
On Monday, for instance, flags at the White House were not lowered.
White House officials - chief of staff John Kelly and press secretary Sarah Sander - had planned to put out a more detailed statement, and one that described McCain as a war-hero.
President Donald Trump issued a statement on August 27, about the passing of Sen.
Tributes have flooded in for the former presidential candidate and navy pilot, whose family said had chosen to end his treatment for brain cancer after being diagnosed with an aggressive form of the disease a year ago.
"John McCain was a true American hero", said French President Emmanuel Macron.
Former Presidents George W Bush and Barack Obama are expected to speak at McCain's memorial service at the National Cathedral in Washington on Saturday.
While serving as a pilot in the Vietnam War, McCain underwent brutal torture after Vietnamese soldiers shot down his plane and captured him. Trump eventually spoke about the senator while meeting with evangelical leaders at the White House on Monday night.
As he prepared for the end of his life, McCain said he did not want Trump at his funeral, instead favoring attendance by Pence, with whom he served in Congress.
"We weaken it when we hide behind walls, rather than tear them down, when we doubt the power of our ideals, rather than trust them to be the great force for change they have always been", he said - an apparent reference to Trump's plans for a border wall. Jeff Flake seek to drum up support for their resolution to rename the Russell building in McCain's honor, noting the late senator chose offices in the Russell Senate Office Building for the "entire length of service in the Senate". He paused. "Let me say this a better way".
McCain's office was in the beaux-arts style building, on Constitution Avenue, and it's where the committee he proudly chaired, the Senate Armed Services Committee, meets. McCain was also alarmed by the rise of far-right populism in Europe, and the British break with the European Union that Trump has heralded.
Republican Kelli Ward unsuccessfully challenged Mr McCain in a 2016 primary and was now seeking a different Arizona Senate seat in the November midterm elections.