The 22-year-old, who is currently playing for Yorkshire in England's county championship, will join the Test team in the Sri Lankan capital Colombo on Tuesday ahead of the third and final game.
Having already lost the Test series after defeat in the first two matches, Australia will be looking to salvage some pride in the ODIs and two subsequent Twenty20 internationals.
"Travis is a long-term prospect for Australian cricket in all formats and we think he will benefit greatly from working in the conditions we have here in Sri Lanka," said Australia's chairman of selectors Rod Marsh.
The South Australia batsman, who made his ODI debut against West Indies in June, has some sub-continent experience after stints playing in the Indian Premier League.
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