Can Juvederm migrate from brow to eyelid?

Juvederm is probably not going to move from the outer brow to the inner area of the eyelid - if that is where you  had it injected.  However Juvederm is very hydrophilic - it absorbs water - so the surrounding areas may get edematous.  At 4 months  you would still have juvederm in there.  Go back to your injector - if it is edema you should try getting the Juvederm out with some hyaluronidase injections.     

Fillers injected into the right place generally don't move
over time, however, eyebrow and eyelid regions have very delicate tissues and
muscles. Juvéderm can be an excellent
product to lift and shape the brow but sometimes it can cause lumps under the
skin. If your doctor is unable to give
you a satisfactory answer I would get a second opinion ideally from an
oculoplastic surgeon who specializes in using fillers around the eyes. The good news is Juvéderm can be dissolved
with hyaluronidase. Sometimes adding a
little bit of neurotoxin to the brow depressor muscles can help change the
shape as well and you may not need to dissolve the Juvéderm. If Juvéderm has not been helpful, there are
other options for brow lifting such as Ultherapy and ThermiSmooth.