Wrinkled neck skin after neck-lift. Do I need a touch up, or could I try a non surgical procedure? (Photo)

You are only one month away from your surgery and certainly still have some swelling on board. This should improve over time and so should your appearance. Follow up with your surgeon to get their input on your recovery and progress. If when your tissues have completely softened and matured, your skin is more lax than desired, options  for additional treatment can be discussed. Surgical revision can be performed but there are also non invasive options such as laser skin tightening, Ulthera, etc which can be considered.

Its difficult to tell without examining you in person however there are several options that may help. If the wrinkling is significant, then you may need a revision procedure, in which case you should talk to your surgeon. If it is mild to moderate then it may be amenable to a less invasive procedure such as the NeckTite procedure using radio frequency to tighten the excess skin. To get the best answer you will need to have a consultation with a board-certified plastic surgeon, whether it is the surgeon who operated on you last month or a different surgeon. Best of Luck!