The new adaptation of Bleak House is likely to be broadcast globally, thanks to a "huge amount" of international interest.
A spokesperson for BBC Worldwide explained: "We've had a huge amount of interest from broadcasters around the world. As it's still on air we haven't confirmed any deals, but the people who take our period dramas are saying it's the best that they have seen from the BBC."
The final episode of the series, which stars Charles Dance and Gillian Anderson, will be shown on Friday.
The success of the TV show, which began on 27 October, has apparently also affected book sales. Amazon.co.uk said they had recorded a 290% rise in purchases of the book.
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