Sources say the superstar could reveal dates as soon as tomorrow to capitalise on the immense hype around her global No. 1 album.
Fans believe Swift might wait until her birthday on December 13 to release full tour details.
Live Nation, believed to be her new Australian promoter, had “no comment” about rumours of an imminent tour down under.
The Australian leg of the Reputation tour will be in stadiums and is tipped to take place at the end of 2018.
Swift makes all her music and tour announcements through her own social media.
Her Reputation album has again proved the singer’s savvy business skills in the modern climate of music consumption.
Keeping the album off streaming services such as Apple Music and Spotify for the first week of release means fans need to buy either physical or digital copies of the record.
Reputation has been No. 1 on iTunes in Australia — and most major territories — since release on Friday.
It is the first real threat to dislodge Pink’s Beautiful Trauma, which has been No. 1 for four weeks on the ARIA album chart.
Sam Smith’s The Thrill of It All was only 632 copies off knocking Pink from top spot this week.
Swift will have to beat Ed Sheeran’s Divide on 97,014 to have this year’s biggest first week sales — Beautiful Trauma sold 78,040 sales upon release.
Avoiding streaming sites will increase Swift’s pure sales and royalties, but ruins her chances of breaking Sheeran’s record of having every track from the album enter the singles chart.
Reputation sold over 700,000 copies in its first day of release in the US and is on track to beat the 1.2 million copies her previous album 1989 sold in its first week of release three years ago.
Swift is working with Ticketmaster in the US to try and stop bots and ticket scalpers.
They introduced a Verified Fan program where Swift fans who buy merchandise and post online score extra points designed to get them a better chance of buying tickets.