The droopy eyelid should get much better in 6-8 weeks and back to normal in 3-4 weeks. As I tell patients is that the good news about botox is that if you don't like it ..it lasts 3-4 months and the bad news is that if you DO like it...it lasts 3-4 months.
Strictly speaking, dropping the eyeBROW will cause an increase in loose skin of the upper lid but will not droop the upper eyelid itself. The droopy eyebrow effect would last for 3-6 months.On the other hand if Botox reaches the LEVATOR muscle which lifts the upper eyelid itself, the result will be a droopy eyelid with a sleepy look. With eye drops the effect can be vastly improved but such drops may need to be used from 2 weeks to three months depending on the patient and how much of the muscle was affected.