Latest "military covid" stories
They want troops dismissed for refusing the vaccine to get their jobs back and be awarded back pay.
About 1,000 military medical specialists will deploy to hard-hit hosptials in coming weeks to ease pressure on health care staff.
The move is part of a broader response to the surge in cases of the Omicron varinant in recent weeks.
Trump's former chief of staff said the president knew of his possible exposure to the virus earlier than what was previously reported.