Yes, Prozac can make you tired. Drowsiness is a relatively common side effect of fluoxetine (Prozac), reported in about 5% to 17% of people who take this medication.
Other common side effects of fluoxetine include headache, insomnia, nervousness, anxiety, fatigue, tremor, low libido, diarrhea, nausea, dry mouth, and decreased appetite. When some of these side effects happen at the same time, they can mimic the feeling of being intoxicated.
These adverse effects usually last only a few days and generally go away after the body adjusts to the medication. Even so, if Prozac-related sleepiness, or any other side effect, is affecting day-to-day life, it is important to talk with a healthcare provider.