Sutures Not Dissolving on Upper Eyelids?

The upper eyelids are exquisitely sensitive.  The skin around this area can be easily perturbed.  Dissolving sutures have the following distinct disadvantages:

More reactive to surrounding skin

Unpredictable absorption pattern- may dissolve earlier or later than ideal.  If sutures dissolve too late, can cause abnormal scarring such as track marks

Limited in how small suture size-  Due to the fragility of the material of dissolving sutures, they can not make a suture as small in diameter as a permanent suture.

Due to those factors, I do not use dissolving sutures in upper eyelid surgery.  Permanent sutures, which are removed later, are a more predictable choice offering less irritation (some of these sutures are used in heart valve surgery), predictability, and allowing the use of extremely small size sutures.

The dissolving sutures can sometimes irritate the skin sometimes. The solution is simple. Have your surgeon remove them.

Suture irritation can occur with both non-dissolving and dissolving sutures and is treated by removing the sutures.  At  9 days, there should be no problem with removing eyelid sutures, even if they will continue to dissolve on their own.  The irritation may be from something else, but at least removing them may solve the problem and if not, help discover what the specific problem actally is.  

The first piece of advice I will give is : Don't worry, the sutures will be gone very soon.

The reason I prefer permanent (removable) monofilament sutures for upper eyelid surgery is that there is less initial tissue reaction than with absorbable sutures.  Although the variant of absorbable suture  probably used in your case is designed to dissolve in 6-7 days, it can last longer in certain circumstances.  At 1 year, it won't make a difference because eyelid surgery scars almost invariably heal withe minimal scarring

Your upper eyelid sutures might need removal.  Ask your surgeon.  If they are the dissolvable type, depending on the material used, it may take a bit longer for them to disappear.  I would call your surgeon and get the information.