The tornado which ripped through Birmingham caused up to #25 million worth of damage to buildings in its path.
The Association of British Insurers said the industry had reacted very quickly to the 130mph-plus whirlwind, ensuring homeowners and businesses could submit claims as soon as possible.
ABI spokesman Malcolm Tarling said: "We're expecting claims of up to #25 million on properties.
"This was a devastating event for the people affected, but the insurance industry is geared to cope with exactly this type of incident."
Insurers had acted proactively to contact customers living in streets known to have been badly hit, providing them with advice on making early claims.
"Overall the insurance side of things has gone smoothly," Mr Tarling added.
The ABI issued the estimate as the heart of Birmingham's world-famous balti belt finally reopened, nearly two weeks after the July 28 twister.
Ladypool Road, in Balsall Heath, was one of the worst affected by the tornado and had been cordoned off to traffic. It reopened on Tuesday.
Balsall Heath Park, at the corner Ladypool Road and Taunton Road, is due to reopen to the public on Monday.
City council officials said work had started on carefully removing tiny pieces of glass and sharp roof tiles that were scattered over the park and they expected it to be complete by Sunday night. The park will reopen with a red ribbon ceremony.