Will this wound from my spitting stitches close up and heal normally? How long will it take? (Photo)

The patient will go home in a bra or with only light dressings over the incision lines. Sutures are dissolvable but an ending knot, if present is removed within 1-2 weeks. Initial discomfort is easily controlled with oral medication. Light activities may be started in 7-10 days.#Hypertrophic or #keloid scars can be a problem. The worst are usually under the breast with an #AnchorLift or inverted “T”. These can be treated like all thickened scars with re-excision, laser, kenalog/5-FU injections, creams, silicone strips and other methods to reduce and improve healing.If you determine a question of your sutures or scars healing the best is to visit your surgeon directly and have the area examined to make sure that healing is progressing as it should. Good luck.

This wound, if at its largest size at this moment, could take up to 2 months to heal.  You may consider talking with your surgeon about placing a smaller implant and revising the scar for faster healing.  

You didn't mention whether you had an implant or not.  Assuming you did not have an implant normal healing will occur over another 8 weeks or so.  The wound appears almost completely granulated.  You will soon notice the wound will appear to shrink and become covered with new skin cells.  When it is healed it will be pink and a little firm, but will improve over a year or so.  Barring other factors, these heal reasonably well and only a few will bother a patient enough to require revision.
An implant is important only if it becomes or threatens to become exposed.