My personal experience is exactly the opposite. Lack of sleep induces depression. This is also supported by many studies. I recommend this read http://healthysleep.med.harvard.edu/healthy/matters/conseque...
“Sleep deprivation really has opposite effects in healthy people and those with depression,” says Benedetti. If you’re healthy and you don’t sleep, you’ll feel in a bad mood. But if you’re depressed, it can prompt an immediate improvement in mood, and in cognitive abilities.”