A spokesperson for First Lady Jill Biden confirmed Commander currently isn't on the White House campus "while next steps are evaluated".
Elizabeth Alexander went on to stress that the Bidens care deeply about the safety of staff, and those who protect them every day.
"They remain grateful for the patience and support of the US Secret Service and all involved, as they continue to work through solutions," she added.
In a previous statement, Ms Alexander had said the White House could be a "stressful environment for pets".
It is unclear where Commander - who was a gift to the US president in December 2021 from his brother James - currently is.
Commander, the dog of U.S. President Joe Biden, walks during a signing event for the CHIPS and Science Act of 2022, on the South Lawn of the White House in Washington, U.S., August 9, 2022. REUTERS/Evelyn Hockstein
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The two-year-old German shepherd has been involved in several biting incidents
Commander was last seen on Saturday on an upper balcony of the White House.
The statement came hours after White House Press Secretary Karine Jean-Pierre was asked about a fresh allegation that the dog had bitten a member of White House staff.
Ms Jean-Pierre referred questions to the first lady's office, which said Commander and Dale Haney, the head groundskeeper at the White House, were playing and that no skin was broken.
The incident was photographed by a tourist and shared with a news organisation, which published the image online.