The deal could be announced as soon as next week, according to the report.
Intel currently provides LTE modem chips for Apple's latest generation of iPhones. But after Apple and Qualcomm settled a legal battle in April over patent licensing practices, the two companies announced that Apple would again start buying modem technology from Qualcomm.
Hours after the settlement, Intel announced that it would no longer develop its next-generation 5G modem chip.
Several analysts have said that 5G is a critical technology for Apple that could spur a major increase in upgrades when the technology is integrated into iPhones, perhaps as soon as 2020.
Qualcomm is continuing to build its own 5G chip, and job listings suggest that Apple is hiring staff to make its own 5G modem, although it's unclear whether that technology is close to making it into an iPhone.
If the purchase happens, it would again underscore Apple's increased willingness to consider large multibillion-dollar acquisitions with its war chest of $225 billion in cash and marketable securities.
Apple's biggest deal to date was the $2.6 billion purchase of Beats Electronics and Beats Music in 2014. Last year, Apple bought staff and patents from British chip maker Dialog Semiconductor for $600 million.
Apple and Intel each declined to comment.