What you may want to find out is:
1. Does your state require you to hold a license to work in a medical laboratory? If so, you may need the specific undergrad coursework to qualify. ( New York is a stickler ! )
2. Will you be considered a Technologist or a Technician ? in some places there can be a considerable pay difference in the two.
3. If a license is not required, can you get hired without a concentrated medical laboratory education/certification?
4. Find out if the place(s) you want to work really give a hoot about certification. (none of mine did)
5. If you are unable to do any of the above, find out if there any university or research facilities that may have PhD.'s in need of a laboratorian for research work. (a couple of caveats though-- if the PhD leaves the facility, you may be out of a job. If funding or no grant money is available, you go Bye Bye - and the pay is often low to start in these kind of positions.) -- BUT -- the experience gained in these kinds of positions can be invaluable in that you may have gained cutting-edge experience as a research laboratorian that may help you later in your grad studies.
Hope this helps, and definately talk to people in your (laboratory) area as well as your advisor to find out more about your decided pathway