If you have a about half a page in you current passport you could apply for 60 day extension to visit you wife.
Your extension of stay (it is not visa) based upon working will also require room for a stamp.
Immigration will normally try find room for stamps if your passport is full.
To apply for the 60 day extension your current extension will have to be canceled before you can apply for it. If you applied for your current extension at the one stop center you will have to apply for the 60 day at a normal immigration office after it is canceled.
You wife will have to be with you to apply for the 60 day extension. You will need a copy of your passport photo page, visa, cancelled extension page and the cancelation of it. You will need a copies of your marriage certificate, wife ID card and house book registry.