"However, Scalise will certainly be in the hospital for a considerable period of time, presumably weeks".
Mika also remained hospitalized Saturday after undergoing an additional surgery.
A list of Republican lawmakers was found on Hodgkinson's body, CBS News reported, citing an unidentified USA official.
After Saturday's surgery, which was not described in detail, Scalise "continues to show improvement", the hospital statement said.
Thankfully, nobody was killed in the tragedy (with the exception of Hodgkinson), though House Majority Whip Steve Scalise remains in the hospital. When Scalise was shot Wednesday, Henry left Baton Rouge for Washington to be with the congressman and his family.
Investigators studying Wednesday's attack at a suburban Virginia park said Thursday that Hodgkinson had obtained his rifle and handgun from licensed firearms dealers.
Law enforcement officials have said they found a list of Republican lawmakers' names on the body of James Hodgkinson, who apparently had been in the Washington area for several months stalking his targets.
Federal authorities are investigating Hodgkinson's motives, including examining social media posts that included anti-Trump and anti-Republican sentiments.
He had with him a piece of paper with doodles and the names of three politicians, according to a person familiar with the case.
Scalise's wife, Jennifer, issued a statement saying she was thankful for the "incredible amount of prayers and warm wishes" the family has received since the shooting. Officer David Bailey recovered enough to throw the first pitch at Thursday's Congressional Baseball Game.
Rep. Steve King, R-Iowa, said in a brief interview that Democrats would be reminded of "positions they've taken in the past that are not consistent with their voice for bipartisanship today".