The 41st U.S. president's body is scheduled to lie in state there from Monday to Wednesday.
Mr Bush, who served as the 41st United States president between 1989 and 1993, died late on Friday at the age of 94.
Haslam had previously ordered all flags over state buildings and the Tennessee Statehouse be lowered to half-staff until sunset on December 30 to honor Bush's life. His body will then be transported by a special train to its final resting place, the Bush Presidential Library in College Station, Texas.
He will be laid to rest alongside Barbara Bush, his wife of 73 years who died in April, and Robin Bush, the daughter who died of leukemia at age 3.
According to Sully's Instagram account, he also spent a lot of time frolicking on the beach and playing fetch. Trump and the first lady, Melania Trump, are scheduled to attend.
George H.W. Bush and Barbara Bush were noted dog lovers. "Thank you for your lifetime of service Mr. President!" Former presidents or prominent politicians customarily lie in state.
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FILE - Former President George H.W. Bush attends a ceremony to unveil a new garden named in his wife's honor, Sept 29, 2011, in Kennebunkport, Maine. Trump directed the presidential plane - called Air Force One when the sitting President is aboard - to pick up Bush's casket and transport it to Washington.
Trump has ordered the federal government to close on Wednesday and both the New York Stock Exchange and Nasdaq will be closed in observance.
From there, the president's casket will be taken to the U.S. Capitol in Washington. His death also reduces membership in the ex-presidents' club to four: Carter, Bill Clinton, George W. Bush and Barack Obama.
After the war he started an oil business in Texas before entering politics aged 40. He was elected to the first of two terms in Congress in 1967. He served our nation with humility and passion. The two former presidents led fundraising campaigns in the aftermath of various disasters.
The photo touched the hearts of many Twitter users.
In a recent essay, Clinton declared of Bush: "I just loved him".