WASHINGTON — Secretary of State Hillary Rodham Clinton’s blood clot formed in her head, her doctors said on Monday, a potentially serious condition from which they nonetheless stressed they expect her to fully recover.

Mrs. Clinton was hospitalized Sunday at NewYork-Presbyterian Hospital for the blood clot — in a vein between the brain and the skull and behind her right ear — and doctors said on Monday that it had not resulted in a stroke or neurological damage. They said they were treating her with blood thinners to try to dissolve the clot.

“She will be released once the medication dose has been established,” according to the statement from Dr. Lisa Bardack and Dr. Gigi El-Bayoumi. Clots like the one Mrs. Clinton has can be serious, said doctors not involved in her care. Dr. David Langer, a brain surgeon and an associate professor at the North Shore-Hofstra-Long Island Jewish School of Medicine, said that if this type of clot was untreated, it could cause blood to back up, and could lead to a hemorrhage inside the brain.

Mrs. Clinton’s doctors struck an upbeat tone in their statement. “In all other aspects of her recovery, the secretary is making excellent progress, and we are confident she will make a full recovery,” the statement said. “She is in good spirits, engaging with her doctors, her family and her staff."