Compression Garment After Facial Lipo (Smart Lipo) and Buccal Fat Pad Reduction?

Last week I had submental lipo, including some thinning on outer jaw above neck & close to mouth. Plus buccal pad reduction. My compression garment helps swelling where it actually covers. It does not cover close to my mouth or the buccal pad area treated. I'll wear it till post-op checkup but think may actually be increasing swelling in uncovered areas. My doc seems of the view that it helps swelling but is not very important for final contour. Thoughts here? Opinions seem to differ.