He will be buried next to wife, Barbara, and their daughter, Robin, who died in 1953.
In Washington, Bush will lie in state in the rotunda of the US Capitol from Monday at 7:30pm EST until Wednesday at 8:45am EST.
The photo, posted initially by Bush's son George, shows the yellow lab slumped by Bush's casket. In this revisionist mindset, although George Bush was by no means flawless, his purported level-headedness, moderation and civility are fondly remembered in comparison to the disgraceful and embarrassing behavior of the White House's current occupant.
Bush Jnr spoke of the joy the service dog, called Sully, brought his father late in life and how much the family will miss him.
The 41st United States president died Friday at age 94, at his home in Houston - "a very gentle and peaceful passing", his lifelong friend and advisor James Baker said Sunday on ABC's "This Week".
Trump has said he plans to designate Thursday as a national day of mourning. Bush to rest this week, it should also pause to recognize what he didn't do while serving as the nation's 41st president.
According to CNN, the Bush family named Sully after former airline pilot Chelsey "Sully" Sullenberger III who, in 2009, landed a damaged passenger airplane into the Hudson River and saved all passengers and crew members on board.
The Bush family's spokesman, Jim McGrath, shared the moving picture with the caption: "Mission complete".
That was a time that saw the end of the Cold War as well as the United States' routing of Iraqi President Saddam Hussein's army in the 1991 Gulf War. A World War II veteran and a CT yankee, Bush moved to Texas after graduating from Yale to pursue a career in the region's booming oil business.
The U.S. Congress already passed spending bills for five government agencies for the next fiscal year, and it still needs to decide on the funding for seven more agencies, including the Department of Homeland Security.
After the war he started an oil business in Texas before entering politics aged 40. Sully will reportedly make one last journey with the 41st president, who served from 1989 to 1993.
In a recent essay, Clinton declared of Bush: "I just loved him".