JERUSALEM (CNN) -- Israeli Prime Minister Ariel Sharon was still in "serious," but "stable" condition Saturday, a Hadassah hospital spokesman said.

The latest CT scan showed "slight improvement" in his brain, Dr. Shlomo Mor-Yosef said, adding that Sharon is not out of danger.

Tests indicate Sharon's intracranial pressure, blood pressure and pulse are "within normal range," indicating the prime minister's condition has stabilized, the spokesman said.

Sharon remains in a medically induced coma, however, and doctors will determine Sunday when to reduce the dosage of anesthesia in order to allow him to wake up. Only then can doctors better assess the extent of brain damage.

Israelis have been considering the possibility of life without the man who had directly or indirectly guided its policy for decades. Even the former general's top aide, Raanan Gissin, sounded less than optimistic when asked on Friday about Sharon's future, saying, "We don't know what condition he will be coming out of it, if he does."

Gissin was quick to say that if Sharon can no longer lead the country, Israel will persevere. "In Israel, when you're in a crisis, a major crisis -- whether it's war or critical decisions have to be made -- the whole tribe gathers around the bonfire," Gissin said. "This time, maybe the leader is gone, but his spirit is alive."

Sharon's latest brain scan came a day after the 77-year-old was rushed into his third brain surgery to address new bleeding and increased pressure.