Prozac is usually taken in the morning. "Sleepy" is not listed as a side effect in the PDR (Physician's Desk Reference).
Always take your medications according to your physicians instructions and if you have a question about side effects your pharmacy should have provided you with a patient education sheet when you were prescribed the med. You may always check with your pharmacist.
I hope this helps withyour question :)
Your very welcome, always glad to help.