Any natural or Rx sleep aide safe to take with Prozac (fluoxetine)

I have had sleep problems for years and Unisom works pretty well for me and sometimes I've added Melatonin...Just started the Prozac on 5 days ago...and have been increasingly dead tired during the day. Googled it and found out it just makes the sleepiness/dead tiredness worse...I read Valerian is 'safe' maybe will try that...but would any of you share any ideas you might have that have worked for you. (Thank you!) 

I've been taking over the counter Benadryl or its generic. My psychiatrist recommended it because the other stuff I was taking wasn't working. I take 2 pills of it.

Thank you, asnath, for replying... I skipped the melatonin last night and it really helped. Just took one Unisom and then a Tylenol at 3 PM...I will try the Benadryl too...Thanks again.

You're welcome. We are in this together. We help each other.