Compression Garments and Travel After Surgery?

I had a tummy tuck and lipo to flanks. I will be taking a 5 hour flight at 4 weeks post-op. I am wearing a post-surgical compression garment. Can this actually cause a higher risk of DVT? Would you recommend leg compression while flying, or removing compression garment? I am aware of other risk factors, but I have no increased risks other than being 46 years old. Also, the return flight is 2 days before my next surgery which is breast lift/augmentation, arm lipo/lift with minimal incision.