Gillan's Doctor Who co-star Matt Smith has previously conceded that he was 'disappointed' by her exit from the show.
'It is very disappointing,' he admitted at a press screening for the BBC drama last year. 'We took over the show and had to hold hands and help each other.
'But this show is about change and regeneration and that is very galvanising and pushes it forward.'
Doctor Who executive producer Moffat said the pair will be leaving the show at some point during next series, before hinting at the return on River Song.
He said: 'The final days of the Ponds are coming during the next series. Then the Doctor will meet a new friend.'
Rumours have already circulated about who will replace Gillan and Darvill, with bookies offering 10/1 odds on Matt Smith's ex Daisy Lowe joining the show.
Downton Abbey's Jessica Brown-Findlay has also been tipped along with Chelsee Healey, who finished second behind Harry Judd in last night's Strictly Come Dancing final.
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MATT SMITH WITH GIRLFRIEND DAISY LOWE
DAISY LOWE
JESSICA BROWN-FINDLAY
CHELSEE HEALEY
I am NOT a fan of any of these being the Doctor's Companion though...
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