Assistant Brett Hawke has been named interim men's head coach and Dorsey Tierney-Walker will direct the Auburn women's team.
"We're currently in the process of looking for the best care possible to fight this," Quick said. "I want to thank the countless individuals that have passed along their well wishes, thoughts and prayers."
Quick is one of the top swimming coaches in the history of the sport. He has coached teams to 12 NCAA team titles and is a six-time U.S. Olympic team coach.
Hawke, an Olympic swimmer and coach, was an All-American from 1997-99 at Auburn. He returned to Auburn in 1996 to serve as an assistant to former AU head coach David Marsh when Marsh left to take over the nation's largest club team and help running an elite training program for USA Swimming based in Charlotte, N.C. This past summer Hawke was an assistant coach for the Brazilian Olympic team.
Tierney-Walker is in her fourth season as the co-head women's swimming coach at Auburn. An All-American swimmer at Texas, she and Marsh led the AU women's teams to NCAA titles in 2006 and 2007.
Dorsey Tierney-Walker is shown at a Toomer's Corner ceremony celebrating the 2007 national team titles for the Auburn women's and men's teams.
Quick came to Auburn in 1978 and coached through 2002 before leaving for Texas. He coached five NCAA team titles there and seven at Stanford. He came out of retirement to take over for Marsh.
"Richard is such an energetic person, has an incredibly positive attitude, and is bound by his faith," Auburn Athletics Director Jay Jacobs said. "I know that he's going to meet this challenge head on, just as he has done with every endeavor he's encountered. We ask the Auburn Family to keep Richard and his family in their thoughts and prayers."
Quick also worked as head coach for one season at Iowa State and one season at SMU, his alma mater, where he graduated in 1965 and a master's in 1977. He began coaching in 1965 at Memorial High in Houston.