Doctors for Rep. Gabrielle Giffords (D-Ariz.) said the congresswoman is making good progress but that the next few days are critical.

In a press conference aired Monday on MSNBC, University Medical Center Trauma and Critical Care Director Peter Rhee and UMC Chief of Neurosurgery Michael Lemole said signs were good so far concerning Giffords's recovery but that the next few days are important.

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Giffords, who was shot at close range in the head Saturday at a political event outside a grocery store in Tucson, Ariz., was rushed to the University Medical Center and has been recovering there. In multiple interviews, Rhee has said he is cautiously optimistic about Giffords's recovery.

Today, both Giffords and Lemole said there has been no negative change in the congresswoman's condition. Lemole cautioned it was important to monitor when swelling in Giffords's brain peaked. Usually, any swelling in the brain happens by the third or fourth day in a head injury such as Giffords's, he said.

"With regard to Congresswoman Giffords's recovery, at this point no change is good and we have no change," Lemole said. "The CAT scans show there is no progression of that swelling. We're not out of the woods yet."

Lemole said the UMC doctors would be even more optimistic about Giffords's recovery after the third day.