Press secretary Sean Spicer said "there is not enough time to follow Secret Service protocols" to ensure Trump's safety, but the president visited Scalise in the hospital on Wednesday. The other victims are recovering from their wounds, while the gunman died after a shootout with police.
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. Doctors didn't address what organs were damaged.
For now, Scalise remains in critical condition in the hospital's intensive care unit.
Medical staff also have removed a tube that had been inserted into Scalise's abdomen to prevent fluid from going into his lungs while he was sedated, said the sources, who spoke on the condition of anonymity because they were not authorized to comment on the congressman's medical status.
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Scalise remains in critical condition at a hospital near the Capitol and has undergone multiple surgeries.
U.S. congressman and senior Republican Steve Scalise has been upgraded from "critical" to "serious condition" and continues to show signs of improvement after being shot while he practised for a charity baseball game.
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Witnesses alleged he tried to escape after the attack, shouting: "I want to kill Muslims - you deserve it", and "I did my bit". Attendance has greatly increased since then among worshippers from various communities, according to the mosque's website.
Five people were injured, including MI native Matt Mika and U.S. Rep Steve Scalise, R-Louisiana, who remain in critical condition.
"It'll sure be a different game without him there", said Representative Cedric Richmond, the starting pitcher for the Democratic team and a longtime friend of Scalise from their days as political adversaries in the Louisiana state legislature.
As for rehabilitation, Sava said he believed Scalise will be "able to walk and hopefully run" in the future.
President Donald Trump shared a message Thursday night prior to the Congressional Baseball game at Nationals Park, saying the fact that the game was still being played was sending a message to the world "that we will not be intimidated by threats, acts of violence, or assaults on our democracy". But Trump went on to say that "Because of him and the tremendous pain and suffering he's now enduring - and he's having a hard time, far worse than anybody thought - our country will perhaps become closer, more unified, so important". Capitol Police said they had "no evidence to suggest that the purchases were not lawful".
U.S. lawmaker shot by anti-Trump gunman showing improvement
Scalise, the No. 3 House Republican , arrived at the hospital via helicopter in shock, with intense internal bleeding, Sava said . Alex Jahangir, an orthopedic trauma surgeon at Vanderbilt University Medical Center, who was not involved in Scalise's care.
The FBI said that the shooter's weapons found at the scene - a 9mm handgun and 7.62mm caliber rifle - had been legally purchased.