Left-handed Quiney, 30, only started playing first-class cricket in 2007 and averages 37.70 from 53 matches.
"Only time will tell but I'm hoping my maturity will help me," he said.
Watson, 31, damaged his calf while bowling for New South Wales against Queensland last week.
"He won't be fit enough come Friday," said Australia coach Mickey Arthur. "We wanted to be really decisive. We didn't want this to play out the whole week.
"We are comfortable we have the players and we have the cover. We're relaxed, we're calm. We're excited and really hungry for some success."
Watson has become a key all-rounder for Australia in all forms of the game and was named player of the tournament at the World Twenty20 in October.
Quiney made scores of 85 and 11 not out for Australia A in their three-day match against the Proteas which ended in Sydney on Sunday.
"I think he deserves his opportunity," Arthur said. "Over the last couple of seasons he's been prolific, he's probably been the stand-out domestic player."
"I certainly think that players performing need to get picked, guys that have done the hard yards. Rob has certainly done that."
Arthur said he was "very confident" former captain Ricky Ponting will be fit despite injuring his hamstring playing for Tasmania against the tourists.
Australia squad for first Test: Michael Clarke (captain), David Warner, Ed Cowan, Rob Quiney, Ricky Ponting, Mike Hussey, Matthew Wade (wk), Peter Siddle, Ben Hilfenhaus, Mitchell Starc, James Pattinson, Nathan Lyon.
South Africa Test squad: Graeme Smith (capt), Alviro Petersen, Hashim Amla, Jacques Kallis, AB de Villiers (wk), Jacques Rudolph, JP Duminy, Faf du Plessis, Thami Tsolekile (wk), Robin Peterson, Rory Kleinveldt, Vernon Philander, Dale Steyn, Morne Morkel, Imran Tahir.
Shane Watson Australian team come back Test, ODI and T20 Match Shane Watson beautiful photos images and wallpaper watch online and Free Download cricket Match Live Tv only on Star Cricket Live chanel Ptv Sport.
"Only time will tell but I'm hoping my maturity will help me," he said.
Watson, 31, damaged his calf while bowling for New South Wales against Queensland last week.
"He won't be fit enough come Friday," said Australia coach Mickey Arthur. "We wanted to be really decisive. We didn't want this to play out the whole week.
"We are comfortable we have the players and we have the cover. We're relaxed, we're calm. We're excited and really hungry for some success."
Watson has become a key all-rounder for Australia in all forms of the game and was named player of the tournament at the World Twenty20 in October.
Quiney made scores of 85 and 11 not out for Australia A in their three-day match against the Proteas which ended in Sydney on Sunday.
"I think he deserves his opportunity," Arthur said. "Over the last couple of seasons he's been prolific, he's probably been the stand-out domestic player."
"I certainly think that players performing need to get picked, guys that have done the hard yards. Rob has certainly done that."
Arthur said he was "very confident" former captain Ricky Ponting will be fit despite injuring his hamstring playing for Tasmania against the tourists.
Australia squad for first Test: Michael Clarke (captain), David Warner, Ed Cowan, Rob Quiney, Ricky Ponting, Mike Hussey, Matthew Wade (wk), Peter Siddle, Ben Hilfenhaus, Mitchell Starc, James Pattinson, Nathan Lyon.
South Africa Test squad: Graeme Smith (capt), Alviro Petersen, Hashim Amla, Jacques Kallis, AB de Villiers (wk), Jacques Rudolph, JP Duminy, Faf du Plessis, Thami Tsolekile (wk), Robin Peterson, Rory Kleinveldt, Vernon Philander, Dale Steyn, Morne Morkel, Imran Tahir.
Shane Watson Australian team come back Test, ODI and T20 Match Shane Watson beautiful photos images and wallpaper watch online and Free Download cricket Match Live Tv only on Star Cricket Live chanel Ptv Sport.
