It depends

1) In your current position, which degree is cosely related or used to match your job requirement ? If it's the old one, you are OK. If it's the unfinished one, then you need to package yourself well to show why you are the right one to take this position.
2) Many other issues might affect your petition, like your pay if it's up to prevailing salary for your LCA, any status gap before, if your employer has a stable business in order to pay you, etc.