In a statement Saturday, Matt Mika's family says he will remain in the intensive care unit at George Washington University Hospital at least through the weekend.
Hospital officials previously said Scalise would need multiple operations and weeks to recover after a bullet tore through his pelvis, fracturing bones, injuring internal organs and causing severe bleeding.
One of the Capitol Police officers injured in Wednesday's shooting has thrown out the first pitch at the congressional baseball game - to thunderous applause.
Scalise's trauma surgeon said Friday he can hope to make an "excellent recovery", even though the lawmaker arrived at the hospital Wednesday at imminent risk of death.
Sava said Friday that there are hundreds of bullet fragments in Scalise's body, but "we have no intention to try and remove all the bullet fragments at this point".
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Also suffering relatively minor injuries were two Capitol Police officers, David Bailey and Crystal Griner, and House GOP aide Zack Barth. The 51-year-old remains in a critical condition.
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". "We're all close to Steve Scalise, he's a lovely person".
As his colleagues played baseball in his honor Thursday evening, MedStar Washington Hospital Center medical gave an update on Rep. Steve Scalise, who remains in critical condition but has improved. Doctors immediately performed surgery, but additional operations will be required, the hospital said in the late-night statement.
A Republican supporter holds up a sign supporting House Majority Whip Steve Scalise (R-LA) before the Democrats and Republicans face off in the annual Congressional Baseball Game at Nationals Park in Washington, U.S., June 15, 2017. More than $1 million has been raised for Congressional Sports for Charity so far, the game's organizers announced.
President Trump said earlier Thursday that Scalise was "in some trouble" following Wednesday's shooting at a baseball field in nearby Alexandria, Va., that left three others injured.
House Speaker Paul Ryan has paid a visit to wounded Majority Whip Steve Scalise at the hospital.