Bush made the remarks at the White House after meeting with the commission's co-chairs, former Sen. Bob Dole, R-Kan., and Donna Shalala, who was secretary of Health and Human Services during the Clinton administration.
"I am concerned that there may be flaws in the system between when a soldier is on the battlefield, through the Defense Department, through the Veterans Administration, finally to the community," Bush said.
Bush on Friday called for the nine-member commission after news broke that many soldiers were receiving spotty healthcare at Washington's Walter Reed Army Medical Center.
"I'm confident that this commission will bring forth the truth and as I assured the chairmen, I am confident that there will be a quick response to any problems that you may find," Bush said.
Campus cop fatally shoots Texas student during traffic stop
Newt Gingrich fires back at Mandela backlash