Whithouse's episode is expected to air third in the new run, according to SFX.
Doctor Who stars Karen Gillan and Arthur Darvill will both exit the sci-fi drama midway through the seventh series, it was announced in December.
Whithouse has now confirmed that his instalment will be "one of the final ones" to feature their characters Amy Pond and Rory Williams.
The Being Human creator previously wrote 2006 episode 'School Reunion' for the series, as well as 2010's 'The Vampires of Venice' and 2011's 'The God Complex'.
Chibnall, who served as a co-producer on Who spinoff Torchwood from 2006 to 2008, contributed to 2007's '42' and 2010 two-parter 'The Hungry Earth' and 'Cold Blood'.
Doctor Who is expected to return to BBC One in the autumn.
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Watch Matt Smith discuss his future with Doctor Who below: