Fletcher believe that there isn't enough tour games for Vaughan to regain full fitness after having knee surgery.
"There's not much cricket between now and the third, fourth and fifth Tests," Fletcher said
"Especially cricket where he has to stay in the field for a long time, probably two days standing on that leg and for a long innings," he added.
"So until he can do that and he's confident in his knee, we won't consider Michael Vaughan."
Vaughan, the 2005 series winning captain, himself had targeted the fourth Test, which starts in Melbourne on Boxing Day, but he has struggled with the bat in his first two matches since undergoing surgery.
He was out for a duck playing in a warm up game against Western Australia XI and then made just nine runs on Wednesday against a WA Second XI.
The third Test starts in Perth on Dec 14 with Australia leading the series 2-0.
England play two matches, a one-day game against CA Chairman's XI at Lilac Hill on Friday and a two-day game against Western Australia, starting on Saturday.
Vaughan will play in the two-day game along with England Test squad players who have not featured in the first two Test matches.