His injuries were not believed to be life-threatening.
"Nobody would have survived without the Capitol Hill police", Paul said on CNN.
Authorities have identified the suspected shooter at the GOP Congressional baseball practice on Wednesday morning as James T. Hodgkinson, a 66-year-old from Belleville, Illinois, the Washington Post reported.
The lawyer said he was greeting friend and colleague U.S. Rep. Trent Kelly, R-Mississippi, on the infield just before the shots rang out from near the third base side. "We are with her and with the entire Scalise family". He said the congressman dragged himself 10 to 15 yards into the outfield to get further away from the gunman. "He had a lot of ammo".
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Also wounded were one current congressional aide and one former aide who now works as a lobbyist, officials said. She said the officer had gotten out of a parked auto, drawn a handgun and shouted something to the gunman, who then fired. "He ran with a wound to the dugout", Flake said.
"I just didn't want her to wake up and learn the news", Flake said. Brooks says Rep. Brad Wenstrup, a podiatrist who served as a combat surgeon in Iraq, used scissors to cut Scalise's trousers to get to his wound.
Brooks identified the shooter as a "white male, armed with a rifle".
Arizona Senator Jeff Flake was with other Republican members of Congress getting ready for the annual Congressional Baseball Game, scheduled for Thursday in Washington when shots were fired. That staff member is receiving medical attention, Williams said in a statement. The other wounded included a congressional staffer and two members of the Capitol Police who were assigned to guard Scalise.
Duncan said he has no doubt the man he spoke with was the shooter, based on photos he's seen.
Arlington Bishop Michael F. Burbidge said in a statement he was "profoundly saddened" by the events and offered prayers for those wounded in "this senseless attack".
The two Capitol police officers that were shot are in "good condition" and are being treated at a hospital, Capitol Police Chief Matthew Verderosa said.