The 81-year-old McCain died on Saturday of brain cancer at his Arizona ranch.
Congressman Bob Goodlatte added that the U.S.is "mourning the loss of a national hero".
He went on to become a high-profile senator and recently a critic of current US President Donald Trump.
It was the start of what promises to be a hard week for Trump. The president, who as a candidate in 2016 mocked McCain's capture in Vietnam, had jabbed at the ailing senator for voting against Republican efforts to roll back President Barack Obama's health care law.
Democrats are proposing one of the Senate office buildings in Washington be renamed in John McCain's honour.
Reportedly, Vice President Mike Pence will attend the Saturday service instead of President Trump.
Preparations are underway at the State Capitol where late Senator John McCain will lie in state this week, the beginning of a multi-day, multi-state good bye for the Maverick.
Sanders, who tweeted Sunday that McCain was a "great American" declined to comment on the Washington Post report Sunday. In a July statement, McCain lashed out at the President after Trump said during a meeting in Helsinki with Russian President Vladimir Putin that he accepted Russia's claim that they did not meddle in the U.S. presidential election.
Hogan said in a statement that McCain "will forever remain one of most valiant heroes our country has ever known". John McCain's service and he will lie in state in both the nation's capital and Arizona as part of a cross-country funeral procession ending with his burial at the U.S. Naval Academy, according to plans taking shape Sunday.More news: Trump hits back at former attorney Cohen, praises Manafort
It's reported that before McCain's death, they requested both Presidents to give eulogies at his funeral.
"He had a joy about politics and a love for his country that was unmatched", Sen.
The statement stands in stark contrast with the tributes offered by former presidents, congressional colleagues of McCain's, and world leaders, who used glowing language to mark McCain's death and note his distinguished military and political career.
And McCain's survival through years of almost fatal torture and hardship in the Hanoi prison known as the "Hanoi Hilton" was made more impressive by his refusal to be repatriated before the release of all the American POWs captured before him. "John, you will be missed", the current president of Estonia, Kersti Kaljulaid, tweeted.
McCain frequently criticized Trump for his behavior and policies, and dramatically cast the deciding vote to not repeal the Affordable Care Act a year ago, an act that drew a round of angry tweets from Trump.
Rep. Martha McSally, former state senator Kelli Ward and former Maricopa County sheriff Joe Arpaio are fighting for the GOP nomination. He died a day later.
That honor has been accorded to only a few notable Americans, including John F. Kennedy, Ronald Reagan and civil rights icon Rosa Parks.
Before President Richard Nixon's funeral in 1994, he and his vice president, Spiro Agnew, had not spoken to each other in more than 20 years, as Agnew held a grudge against Nixon for pushing him to resign.
The senator also wrote about his long-standing feud with Trump in his memoir The Restless Wave saying that Trump's behaviour was disturbing. He understood the greatness of America, fought tirelessly for our values and put forth decades of admirable service to this nation.