We are closer to reaching the end of Verizon Wireless’s limited-time offer of unlimited data, says the Wall Street Journal‘s AllThingsD. The website reports that the wireless carrier plans to introduce new tiered pricing plans next month for new smartphone customers — including those buying Apple’s iPhone 4.

If true, the report hardly comes as a surprise. Back in January, when Verizon became the second carrier in the U.S. to offer iPhone service, the company said it would offer subscribers a $30-a-month unlimited data plan for the iPhone’s launch, but highlighted the fact that the offer was for a limited time only.

Verizon has been mentioning creating tiered pricing plans for more than a year now.

AllThingsD states that Verizon isn’t providing specifics on the new plans, but it cites a Droid Life report claiming that plans will range from $30 a month for 2GB of data to $80 a month for 10GB of data. Droid Life says the new prices will take effect on July 7.