Sava said that Scalise (R-La.) has largely been sedated, but able to notice the presence of his family and the medical staff when doctors lessened his sedation.
Mr Scalise, a police officer, a congressional aide and a lobbyist were wounded on Wednesday when a man identified as James Hodgkinson, 66, from the St Louis suburb of Belleville, Illinois, opened fire on the lawmakers as they practiced for an annual charity baseball game between Republicans and Democrats.
Medstar Washington Hospital Center released the update Saturday on behalf of the Scalise family.
A playground near the baseball field is cordoned off with police tape as the investigation continue at the scene in Alexandria, Va., Thursday, June 15, 2017, the day after House Majority Whip Steve Scalise of La. was shot d.
Sava says infection remains a risk, after doctors performed several surgeries to stop bleeding and begin repairing abdominal and bone damage.
Scalise had been awake immediately after the shooting, Sava said, but had gone into shock by the time he arrived at the hospital.
Scalise, 51, underwent two surgeries after being shot in the hip, receiving multiple blood transfusions after suffering blood loss.
Mueller Hires 13 Attorneys to Join Russia Probe
Rosenstein was also the author of a letter in May to Trump criticizing the performance of FBI Director James Comey . Mueller is investigating Russian interference in US elections and possible Russian ties to the Trump campaign.
The first procedure done on Scalise was to address the bleeding, and during that procedure he received "many units of transfused blood", he said. Scalise remains in critical condition, but his vital signs reportedly stabilized.
After additional surgeries and a period of rehabilitation, Sava said that the congressman should be able to walk and even run.
"Trump also adds, as he's said previously, that Scalise is "having a hard time, far worse than anybody thought" following the shooting Wednesday". He said that, when Scalise arrived at the hospital, he was "at imminent risk of death".
The president made his comments as he spoke in Miami to announce a new policy on Cuba.
Steve Scalise was hospitalized after being shot in the hip, but has significantly improved. The offices of both senators - Dick Durbin and Tammy Duckworth - turned over the emails to Capitol Police and declined to offer specifics about their content.
Since then, the lawmaker has undergone multiple surgeries and procedures to stop the bleeding and fix bone.
Members of Congress took the field at Washington's Nationals Park on Thursday night for the charity baseball game, many wearing hats to honour Mr Scalise, who has represented Louisiana in the House since 2008.
- Trump Travel Ban: Still Swinging for the Fences
- Trump confirms he's under investigation, lashes out at deputy attorney general
- Trump blasts reported obstruction probe over 'phony' Russia story
- Looming expansion draft turns up trade chatter around NHL
- Asked about successor, Vladimir Putin says I'm still working
- Xbox One X vs. PS4 Pro Specs, Features
- At standstill, Cosby jury goes back to deliberate verdict
- Production on 'Bachelor in Paradise' suspended due to 'allegations of misconduct'
- Hundreds of Grenfell Tower protesters march on Whitehall
- Iran MPs mull countermeasures against United States sanctions bill: Lawmaker