The band had been due to kick off the six concert Australia and New Zealand leg of their world tour on Wednesday.
However, the concert will not be going ahead following the apparent suicide of the fashion designer at her Manhattan apartment on Monday.
"No further information is available at this time, ticket holders are asked to hold on to their tickets until a further update is available," Frontier Touring said on its Facebook page.
Unconfirmed reports said Jagger (70) had flown back to New York.
Tributes have poured in for the model (49), as it emerged her British fashion company had been losing millions of pounds.
Accounts filed with Companies House in October show Scott's British company, LS Fashion Ltd, was running at a loss of more than £3.5m in 2012, up from more than £2.5m the previous year.
The documents also show the firm owed more than £1m, despite having assets totalling a similar amount.
Celebrity journalist Ashley Pearson says there's one recent indication something may have been amiss.
Jagger "completely shocked and devastated"
A spokesman for Mick Jagger says he is "completely shocked and devastated" by the death of his girlfriend, L'Wren Scott.
The police do not suspect foul play.
The 47 year-old has been romantically linked to the Rolling Stones frontman since 2001 and tributes have poured in since news of her death emerged.
Mick Jagger's ex-wife Bianca was among those to pay tribute...
Heartbroken to learn of the loss of the lovely and talented L'Wren Scott. My thoughts and prayers are with her family. May she rest in peace
— Bianca Jagger (@BiancaJagger) March 17, 2014