You don't lose weight on SSRIs, you gain, and some some cases much.
This is not absolute however. Prozac (fluoxamine) may not cause weight gain at all but Paxil/Seroxat (paroxetine) may cause significant.
In very special situations however, where increased appetite is psychogenic, you might lose weight, as the psychological benefit will overrun the chemical side effects. There is no time frame.
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