The news comes after it emerged on Friday (September 21) that an intimate video allegedly featuring West was being offered for sale.
Another tape is now doing the rounds, according to TMZ.
The two videos are reported to be very similar, although the first lasts 20 minutes while the second is said to be more than 40 minutes long.
Both tapes are thought to have been filmed in hotel rooms with ex-girlfriends several years ago.
West is currently dating Kim Kardashian, who is said to look similar to the woman in the original video.
West is reportedly planning to take legal action if any of the footage is released, while his lawyers yesterday issued a cease and desist notice alleging that the videos were stolen from the rapper's computer.