A transcript of court proceedings from a copyright lawsuit against Google allegedly contains reference to a deal between the Silicon Valley firms.
The alleged agreement involves Google paying Apple a percentage of revenue - as much as 34% - gained through iOS devices.
Both companies declined to comment.
The BBC has not been able to verify the claims independently.
Bloomberg added that the referenced document has since been removed from the web.
"The transcript vanished without a trace from electronic court records at about 15:00," the report noted.
The court proceedings in question regard a lawsuit by Oracle Corp. in which the firm claims that Google used its Java software to develop Android but failed to pay for it.
'Lucrative business'
Analyst firms, such as Morgan Stanley, have quoted the $1bn figure in the past, but this appears to be the first time that a reference has been found in court documents.
"It's a very lucrative business to be the browser of choice on a device or the search engine on a device," Chris Green, a technology analyst at consultancy firm Lewis, told the BBC.
"It really does, I think, highlight the importance that's being put on being able to own real estate and the conduits through which people access information."
However, Mr Green also noted that it was generally quite common for companies to pay hardware vendors fees for the placement of software and services on devices and that sometimes that may indeed be a percentage of revenue gained as a result.
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