"My thoughts are with Sir Mick and the family of Miss Scott. All Stones fans with tickets will understand and support this decision,'' Richard Galloway said.
Diego Ortiz wrote: ``We fans are with Mick and the guys. We will wait as long as needed, Mick must be feeling really bad, so we're with him in soul and body. Hope you'll find light in these dark hours.''
"This was definitely the right decision. Surely all true Stones fans will understand how shocking and difficult this time is for Mick,'' Danielle Knowles said.
Jagger, who arrived with his bandmates in Perth on Monday for the first leg of the Rolling Stones Australasian concert tour, said in a blog post that he was touched by the tributes and personal messages of support that he had received.
"I am still struggling to understand how my lover and best friend could end her life in this tragic way.''
He was expected to fly to New York to grieve with friends and family, although no official announcement has been made.
Ms Scott, 49, sent her assistant Brittany Penebre a text message at 8.30am on Monday (New York time), asking her to come to her ninth floor Chelsea apartment at 10am, but when Penebre arrived, she found the designer dead.
The New York Medical Examiner's Office will determine a cause of death, but the initial investigation points to Scott taking her own life, police sources said.
Her fashion empire was reportedly crumbling with a $US6 million (NZ$6.95 million) debt, and last month she cancelled her London Fashion Week show at the last minute.
Both Air New Zealand and Jetstar have committed to allowing customers who had booked tickets to Auckland for the show the option of rebooking their tickets.
Jetstar spokesman Phil Boeyen said all concert-goers with air tickets would be provided with a voucher equivalent to the value of their fare to be used to rebook travel at a future date.
Affected passengers were advised to phone the Jetstar Call Centre.
Air New Zealand spokeswoman Kelly Kilgour said customers booked to travel to the concert who purchased their tickets on or before Tuesday, March 18 were being offered the option of deferring their travel to a later date or changing their domestic travel destination on their ticket, including those on non-flexible fares.
Customers were able to defer their travel to a later date inside 12 months of the original date of travel. For those wishing to defer their flight without having a new travel date, the value of the ticket may be held in credit for the same 12-month period.
Affected customers were advised to contact the Air New Zealand Contact Centre on 0800 737 000 for further information.
Australian and New Zealand promoters asked ticket-holders to retain their tickets until further notice.
A spokeswoman for touring company Frontier said they had no indication of when the tour would be postponed to, however those who could not make a new date would be able to get a refund on their tickets.
The postponed shows were:
* Perth Arena - 19 March - postponed
* Adelaide Oval - 22 March - postponed
* Sydney Allphones Arena - 25 March - postponed
* Melbourne Rod Laver Arena - 28 March - postponed
* Macedon Ranges Hanging Rock - 30 March - postponed
* Brisbane Entertainment Centre - 2 April - postponed
* Auckland Mt Smart Stadium - 5 April - postponed
