Droopy eyelids and/or droopy eyebrow - would hyaluronic acid filler help? (Photo)

Hello, thanks for your time. I am a 27 year old girl already suffering with droopy eyelids or droopy eyebrows (Both?). I went to see a oculoplastic surgeon who said one of my brows is lower than the other and he recommended filler for this. Would it help? Filler seems like a better option than considering surgery but I am just not sure if it would work and am worried it will get worse over time.... Thanks!