Elon Musk Has Been Sleeping on the Floor of His Government Office Across from the White House (Exclusive Sources)

Elon Musk has reportedly been sleeping on the floor of his government office — located just steps from the White House and President Donald Trump, according to two Republican sources in Musk's orbit.

Since assuming his role as head of the Department of Government Efficiency, Musk, 53, has been working out of an office in the Eisenhower Executive Office Building. The EEOB, which houses various agencies within the Executive Office of the President, is part of the White House compound and is situated directly across from the West Wing.

One source tells PEOPLE that Musk has been "holed up" in his DOGE office space recently, including "sleeping on a couch and sometimes the floor."

The source notes that the EEOB has "great amenities, including a cafeteria and bowling alley," and says sleeping where you work is not entirely unheard of in Washington, sharing how some House members "sleep in their offices and shower in the House gym."

The source adds that Musk's 4-year-old son, X Æ A-Xii — whom he shares with singer Grimes — "is around quite a bit" as well, though it's unclear if the boy also sleeps in the EEOB.

X Æ A-Xii notably appeared beside Musk and Trump at an Oval Office press conference on Tuesday, Feb. 11, making faces to reporters and grabbing at his father.

A second source — who also tells PEOPLE that Musk has been sleeping on the floor of the EEOB when he's in Washington — adds that he stays at Mar-a-Lago when he and the president go to Florida.

Other Palm Beach sources have previously told PEOPLE that the Tesla CEO was living at least part-time at Mar-a-Lago between the presidential election and inauguration, as he helped Trump with the White House transition.

PEOPLE sought comment from Musk and the White House about his sleeping arrangements.

Musk, who is the richest person in the world, is no stranger to unorthodox sleeping arrangements. He has been open about living in a Tesla factory for three years, sleeping in various locations including on a couch, on the floor under his desk and in a tent on the roof.

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In a 2018 interview with Gayle King, he said the decision to treat the factory as his primary residence stemmed from him lacking time to go home and shower, and wanting similarly busy employees to feel like he was sticking it out with them.