It depends how flexible the work is and how much you are able to combine your timetable. The other aspect is if the job is in the career you want to go into, and is your degree needed for the job? (Are they expecting you to finish your degree? In which case I would assume they would be pretty flexible). If the job isn't in the career you want, then you probably shouldn't give up your degree, or slow it down for the job.
There are a couple of ways it could work:
1) If work is close to uni, and flexible - you could go from work to class and back to work in a day - eg. start work at 8am, then head over for a 10am class, then go back to work. Perhaps work later than normal as well.
2) Uni class is flexible - you are able to choose subjects to make them fit into a one or two day timetable. Even half days and do the similar of above and have class in morning for example, and go to work after lunch. Obviously this isn't quite full time, but I guess it just depends on how work is. Does the uni offer night/evening class? Or do you even need to go to class at all? If there's no participation and they don't mark the roll, then can you just skip class and teach yourself (I don't recommend this, but you would know what the classes are like and how much you want/need the job).
Option 3, you say you can't work full time as you have to finish your degree, but could you work part time for a year, and full time in holidays or defer the position completely for a year until you finish.