The hospital upgraded the third-ranking Republican leader from critical condition.
The president also asked for prayers for lobbyist Matt Mika, also critically wounded during Wednesday's attack on Republican members of Congress who were attacked while practicing for an annual charity baseball game.
Dr. Jack Sava, director of trauma at Medstar Washington Hospital, told reporters that multiple surgeries appeared to have brought multiple internal hemorrhages under control.
Ticket sales picked up after Wednesday's shooting, eventually setting an attendance record, the organizers said, as attendees such as Alexander Hilten, 16, of Arlington, Virginia, made a decision to come to the game for the first time.
Republicans and Democrats put aside their differences to root for "Team Scalise" during the Congressional Baseball Game this year. He added that Scalise would be in the hospital "for some time" and would need "a period of healing and rehabilitation" after being discharged. He has undergone additional surgery and doctors expect a full recovery. The doctor said Scalise was in shock and near death because of extensive blood loss when he arrived at the hospital by helicopter Wednesday.
Two Capitol police officers, David Bailey and Crystal Griner, as well as House Republican aide Zack Barth were injured, but have been released from hospital. Mr Scalise, 51, sustained injuries to internal organs, broken bones and severe bleeding after being shot in his left hip on Wednesday morning on a baseball field in a Washington suburb.
"A lot of times in politics we have divisions but it shouldn't come to violence", he said.
Sava said he is encouraged by Scalise's improvement.
Still, finger-pointing lingered as some on each side suggested the other had contributed more to the disparaging broadsides they've increasingly aimed at each other.
Sava said he told Scalise's family that "I am not declaring victory until he's playing ball in his back yard with his family". Hodgkinson was shot by police and died of his injuries.
"In Washington we have our disagreements, but we all agree that we are here to serve this nation we love, and the people who call it home", President Trump said in a video address to the crowd.
The FBI said it was investigating the shooter's "activities and social media impressions" in the months leading up to the attack. With the chief deputy of the St. Clair County Sheriff's Department by her side, she said she felt "horrible" about the actions of her husband of almost 30 years. Griner remains hospitalized at MedStar Hospital after getting shot in the ankle, and Sava described her in good condition.