L’Wren Scott was found dead in her New York apartment on Monday, in an apparent suicide.
The Rolling Stones were due to play in Perth on Wednesday. Their promoter said no further information was available.
They are scheduled to play five more concerts in Australia. The next is due to take place on March 25 in Sydney.
Ticket holders for Wednesday’s gig were being asked to hold on to their tickets until a further update is available.
L’Wren Scott, 49, was found by her assistant at 10:00 a.m. on Monday.
Her long-term partner, Mick Jagger, was “completely shocked and devastated” by her death.
The Rolling Stones are due to perform in Melbourne and Macedon later this month before playing two dates in Brisbane and Auckland, New Zealand, in April.
The On Fire tour is then scheduled to move to Europe in June, with concerts planned for the Netherlands, Germany, Italy and Belgium.
Mick Jagger, 70, began dating L’Wren Scott in 2001.
On Monday night, a spokeswoman for Mick Jagger issued a statement to deny a report that he had recently ended his relationship with the designer.
“The story in the New York Post re a split between Mick Jagger and L’Wren Scott is 100% untrue,” said his spokeswoman, Victoria Scarfone.
“There is absolutely no basis in fact to this story. It is a horrible and inaccurate piece of gossip during this very tragic time for Mick.”
Naomi Campbell, Vogue editor Anna Wintour and singer Madonna were among those who were fans of the fashion designer.
L’Wren Scott was found dead by her assistant 90 minutes after sending her a text message asking her to come to her Manhattan apartment without specifying why, the Associated Press news agency reported.
Police said there was no sign of foul play and no note was found.
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