It's imperative for a warp stasis sleep for the body to be completely unconscious, so a relaxed status is prefered. Here Jilly and Karen help Elena and Ace to relax themselves and add nutrients (at least to Elena) to make the stasis as comfortable as possible.
Ball gags help a lot with getting used to the breathing tubes that are in use in the stasis beds on the KYTHERA. These aren't the most common setups for stasis sleeps, but Jilly of course has her obvious reasons...