I started taking lexapro about 6 weeksa ago. After being on it for a couple weeks my doc upped the dose to 20mg. After the dose was raised I was having a terrible time falling asleep. He suggested that I try taking it at a different time of the day (I was taking it in the evening). I started taking it in the morning and my problems with getting to sleep disappeared almost immediately.
Adjusting the time you take it is worth a try, probably better than relying on another pill to get you to sleep. I was a bit sluggish at first taking in the morning but over time my body has adjusted.