It is not possible to notice your final results at one month post-surgery.
Usually it takes about 12 months to have the end results of a rhinoplasty to get established. However, if you have a thick oily skin, your recovery pace is a little slower than usual and you may require a little more time to achieve full recovery.
I hope this helps.
The best of luck to you.
Web reference: http://www.DrSajjadian.com