The publication said bosses already have an idea of who will replace Smith, with his contract due to expire in November.
On ITV's Jonathan Ross Show last week, Smith refused to commit to a Doctor Who future, stating "we will see what 2014 holds."
In a BBC statement last night, the broadcaster said: "even we don’t know what’s going to happen at Christmas."
Doctor Who fans can look forward to the "biggest, best, most inventive and most exciting year for the show", actor Matt Smith said.
The first episode of the new series, which screens next month, will see the timelord tear up the side of the Shard on a motorbike.
A special 3D anniversary show will be broadcast in November, which newest companion Jenna-Louise Coleman says, will pay "homage to the last 50 years of the show."
It is thought that all the timelords will reunite for the 50th anniversary special.
Giving nothing away, Matt Smith said: "I think it's hilarious, I think it's epic and I think it's fast and I'm telling you nothing more but you will not be disappointed."
Doctor Who star Matt Smith is introducing poetry to a new generation. The actor is to narrate a children's TV show designed to encourage the joys of literacy in youngsters.
Other names recruited for readings on Disney Junior UK's A Poem Is include Britain's Got Talent judge David Walliams and Downton Abbey's Michelle Dockery. Smith will read Jack Prelutsky's Once They All Believed In Dragons.
He will take part in the second series of A Poem Is, which starts on April 30, along with Twenty Twelve star Jessica Hynes and veteran actor Richard Briers. Their words will be set to scenes from classic animations.