The hospital has further stated that Scalise will need to undergo further operations.
Yet if Scalise did not suffer nerve damage and his recovery continues without any complications, "it is possible that within three months or so, he can ... be back on his feet", Jahangir said Friday.
For now, Scalise remains in critical condition in the hospital's intensive care unit.
Scalise, Tyson Foods lobbyist Matt Mika, congressional aide Zach Barth and US Capitol Police officer Crystal Griner were shot during an attack on the Republican congressional baseball team as it practiced Wednesday morning.
Scalise's surgeon says he can hope to make an "excellent recovery", despite being at risk of death when he arrived at the hospital. Medical staff said that he is sedated but does seem to know that his family is with him.
Mr. Scalise was one of four people shot Wednesday when a gunman opened fire on GOP lawmakers at an Alexandria, Virginia, baseball field.
Doctors "fully expect him to walk", Sava said, "and hopefully run".
Sava estimates there are hundreds of bullet fragments in Scalise's pelvis and says doctors don't intend to try to remove them all, as that could cause more harm than good.
Dr. Jack Sava, director of trauma at MedStar Washington Hospital Center, said the team working with Scalise is "encouraged" by his progress. "I think that his risk of death right now is substantially lower than when he came in ... he was as critical as you can be when he came in".
Sava said that after being released from the hospital, Scalise "will require a period of healing and rehabilitation".
The House of Representatives majority whip underwent another operation on Saturday, and the hospital said he was more responsive and speaking with his family.
Griner remained in the hospital in good condition after sustaining a gunshot wound to the ankle, according to a Friday update.