Citing sources familiar with the matter, the paper claimed the Chinese PC and laptop manufacturer had signed a nondisclosure agreement with the Canadian firm so it was able to look at its accounts and weigh up the pros and cons of a deal.
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Neither company was willing to comment on “rumour or speculation.”
BlackBerry announced in August it was looking for a buyer and formed a committee to weigh up the options.
More on Lenovo
In September, it accepted an offer from one of its largest shareholders, Fairfax Financial Holdings, for $4.7bn but admitted it would still be willing to hear bids from alternative suitors.
Many companies have been associated with the buy-out, including Google, Microsoft and Cisco. However, no other formal bids have been made.