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Yes, we can see some sedation from Tramadol in dogs. It's usually not all that severe, but coupled with Fluoxetine it could be more pronounced. The good thing, is that Tramadol is metabolized pretty quickly. It should go away within 12-24 hours.
If you need to give something for pain, you may want to talk with your vet about using Gabapentin. This is another commonly used pain medication. It doesn't have the sedation side effects like Tramadol. It's also safe to give with what he's already on.
I hope this helps, let me know if you have any other questions.