The report doesn't say why the partnership never happened, but the Journal writes that Uber "lost out on the opportunity" to make deliveries for Apple and Starbucks.
Instead, Apple decided to work with Postmates for same-day deliveries, which is currently available in 18 states across the country.
Same-day delivery is only available for some Apple products, but shoppers have reported seeing the "courier delivery" option alongside iPhones, iPods, iPads, and Apple TVs, according to TechCrunch.
It's unclear why the Uber deal fizzled out, but the Journal notes that Gilt Groupe also turned down a partnership with the on-demand car service partly because Uber couldn't insure Gilt Groupe's high-priced items during the delivery process.