Thanks for the fast response 96firephoenix.
Maybe "whining" was the wrong word to describe the sound, more of a "creaking" sound possibly. I've had the car for two years and its only started making this sound in the last week.
So far, I'd say 8 out of 10 times in normal mode, when the clutch is at the biting point or just before release into 1st gear, the sound will occur.
However, I am going to double check that if it does make the sound in sport mode to see if I can narrow down the issue to the throttle position. Like you suggest, there must be some variation in the mode which is triggering this issue.