Vine's absence for Wednesday night's game at Perth's HBF Park was expected.
But Football Australia said deals had been in place for Carpenter and Van Egmond to return to their clubs before the third game.
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The Matildas got maximum bang for their buck from Carpenter who played 90 minutes against Iran -- scoring in the 2-0 win -- and the Philippines, and was among Australia's best in both victories.
Van Egmond and Vine both played the full game against Iran and came on in the 65th minute against the Philippines.
Australia have effectively locked in top spot in Group A and a place in the third round of qualifying, when the four top-ranked sides will be whittled down to the two who will qualify for next year's Paris Olympics.
"It is a bit of a weird situation because I suppose we could come up against someone like Japan and then one of us would be out," defender Steph Catley told reporters on Tuesday.
"But that is the nature of these types of situations ... the main thing we can do is just control what we can control.
'And for us, that is winning -- and that is doing it however we need to and scoring as many goals as we can.
"So we will focus on the task at hand and make sure that we get ourselves in the best position possible."
"It's been nice to get off to a good start and get two wins.
"Now we have just got to make sure we're focusing and get this last win over and one with it."
Vittsjo defender Charli Grant is Carpenter's likely replacement at right-back in the starting line-up while Amy Sayer looms as Van Egmond's stand-in.