Questions continue to be raised over the future of the programme, given concerns over the film stars' continued availability; Cumberbatch also plays the superhero Doctor Strange in Marvel's film franchise, while Hobbit star Freeman is committed to several other projects, including forthcoming superhero film Black Panther.
A "well-placed BBC source" told Radio Times that there would not be another series of Sherlock next January, while adding that the broadcaster is "reasonably hopeful" the programme will return for 2018.
However, Sherlock writer and co-creator Steven Moffat has suggested that Sherlock may have come to an end. "I don't know how long we can keep it going. I'm personally willing but I'm hardly the main draw," he said in July. "I would be moderately surprised if this was the last time we ever made this show. But it absolutely could be."
The final episode of the series aired last weekend in the UK, where it faced low ratings following a leaked version of the episode coming online.
The fourth series starts on TVNZ 1 January 29.
This article originally appeared on The Daily Telegraph.