I don't think it's Eulamprus quoyii, as there's no indication of a pale, anterior, dorsolateral stripe. I'm leaning towards Yellow-bellied Water Skink (E. heatwolei) for a few reasons i.e an indication of yellow undersides (as seen on the hands, wrists and feet), heavily speckled dorsum and tail. A better look at the head from above, below and sides would help Identify it. Do you have any more shots that you could add?
I don't have any better shots than the second photo now which shows a slightly turned head. If I come across another one I'll be sure to photograph the head from all sides.
Thanks for the additional pic Rob. It gives us enough to positively ID it as a Yellow-bellied Water Skink i.e pale temporal markings and a bit more of an indication of higher density, dark spotting on the top of the head. There also seems to be a dark anterior edge to the tympanum.