Doctors began the emergency surgery this morning to stem the bleeding and heightened pressure on Sharon's brain.
Shlomo Mor-Yosef, director of Jerusalem's Hadassah hospital, says Sharon's condition is better now than it was yesterday, but is still critical.
"The prime minister now is transferring to the intensive care unit. I would like to say that even though the result of the CAT scan are better than yesterday, the condition is still critical."
Doctors say Sharon is being kept in a medically-induced coma for at least two more days.
The operation was Sharon's second bout of surgery in two days, after he suffered a massive stroke and brain hemorrhage on 4 January. Doctors said earlier it was unlikely Sharon will ever return to work.