Producers have requested the pair stop making "X-rated" jokes while their dance rehearsals are being filmed, the Daily Star reports.
The majority of footage from their training sessions apparently ends up on the cutting room floor because it's too rude to broadcast.
A source said: "They keep forgetting the cameras are there. Their chatter and jokes are quite X-rated."
Van Outen and Jordan have since promised to "keep it clean" for the cameras in future.
The presenter managed to perform on last weekend's show despite suffering from whiplash during rehearsals for the jive routine.
Photo gallery - Strictly Come Dancing week two: