The showrunner announced at last weekend's Doctor Who convention in Cardiff that any such programme is not likely to materialise in the near future.
"I'm not against it. Spinoff shows happen because you think 'That is so good, you should spin it off' - but personally I'm relatively busy," he explained.
"[But] you never know," added the show's executive producer Caroline Skinner.
Doctor Who spinoff Torchwood aired on the BBC from 2006 to 2011, with the fourth run Miracle Day being co-produced by US cable network Starz.
However, star John Barrowman (Captain Jack Harkness) recently suggested that the show is "in limbo".
Second spinoff The Sarah Jane Adventures ran for five series between 2007 and 2011, but ended following the death of lead actress Elisabeth Sladen.
Doctor Who will return to BBC One in the autumn.
> Torchwood star Eve Myles: 'The fans deserve closure'
Watch the new trailer for Doctor Who's seventh series below: