That's according to a statement from Medstar Washington Hospital Center.
The message thanks the many people for their prayers, support and outpouring of love.
Medstar Washington Hospital Center released the update on behalf of the Scalise family.
Doctors say the Louisiana congressman wounded during Wednesday's attack by a gunman on a baseball practice session remains in critical condition but has shown improvement.
The majority whip was shot during a congressional baseball practice in what's being described as a politically motivated assassination attempt.
Rep. Steve Scalise's condition upgraded to 'serious'
The surgeon on Friday said he was "a lot more confident and optimistic" about Scalise's recovery than he was two days ago. The officials said investigators don't know what the list of names means, but members of Congress have been briefed.
The American Hospital Association defines "critical" condition as: "Vital signs are unstable and not within normal limits".
Scalise, the third ranking member of House Republican leadership, was among six people who were injured after a gunman opened fire Wednesday in Alexandria, Virginia, during a Republicans' early-morning practice ahead of a charity baseball game.
Hodgkinson, died in a shootout with police.
On Friday, the hospital's director of trauma, Dr. Jack Sava, called Scalise's injury a "transpelvic gunshot wound" which had "fragmented, and caused significant damage to bones, internal organs and blood vessels".
Mika, a MI native, was one of five people shot when a gunman opened fire Wednesday as the Republican team practiced in Alexandria, Virginia. He has undergone additional surgery and doctors expect a full recovery.
Suffering relatively minor injuries were two Capitol Police officers, David Bailey and Crystal Griner, and House GOP aide Zack Barth. The official was not authorized to speak publicly about the investigation and did so only on condition of anonymity.