Vaughan, 34 next month, is desperate for runs to force his way into the reckoning for next summer's Ashes series.
But despite talk of the Redbacks offering him a deal, their high performance manager Jamie Cox has strongly denied a move will be made.
"This is categorically not the case. The Redbacks have had no conversations with Mr. Vaughan regarding his recruitment to the side. He has never been considered as a candidate for the Redbacks this season and he will not be playing for South Australia," The Sun quoted Cox, as saying.