If the SIIS estimate is correct, the hail storm is likely to become one of the worst ever for the insurance industry. According to the Insurance Information Institute, hail causes about $1 billion in damage to property and crops each year.

SEE ALSO: Texas Hail Storm Insured Losses Could Eclipse April Tornadoes

In 2011, Texas had the largest number of major hail storms of any state, with 741.

Helin expects the industry to log about 60,000 auto claims, based on the rate of claims coming in since the storm.

Baseball-sized hail from several storm systems slammed into vehicles and homes during the late afternoon hours June 13. The National Weather Service says the storms were the worst in the area in nearly a decade.

“Very expensive homes and historical structures are included among the things that got hit,” Helin adds. “Everything got hit. There's nowhere to go and everyone was out.”

Shortly after the storm Mark Hanna, spokesman for the Insurance Council of Texas, said he expected insured losses from the recent hail storms to exceed the estimated $400 million in losses expected from tornadoes that struck the Dallas-Fort Worth area in April.

State Farm says it has already received more than 11,000 claims as off early June 15: 7,898 auto claims and 3,442 homeowners' insurance claims. The insurer expects claims numbers to increase.

In comparison, several days after the April twisters State Farm reported about 8,610 auto claims.

Farmers Insurance says its claims count as of the afternoon of June 15 was nearly 4,500 and rising.

USAA says its members have submitted about 4,000 claims, with slightly more auto than home claims.