Is one week downtime too little after lipo revision and fat transfer?

I'm having lipo revision on my legs to correct some areas where too much fat was removed. My surgeon is going to feather out and remove fat (via a syringe) from a fatty pocket on my thigh, then transfer it to some hollow areas along my legs. When I asked about how long he thought I should wear the compression garment, he quoted me the time of only one week. He also said I should abstain from exercise for just one week. This seems like a short time to me. He gave me the same time / restriction the last time he did a revision (fat transfer to a couple dents and dimples on my legs), and none of the fat stuck. My question is: Would it be advisable to wear the compression garment a little longer to ensure that the fat will stick this time? Would waiting longer to go back to working out also give the fat a better chance of survival? Thank you!