I have done this several times without any problems. Still this can be risky… Anyway the way I would do it:
- I use aptitude instead of apt-get (as I found it to solve dependencies better)
- I first start with aptitude update; aptitude upgrade
(evaluate what it will do; if I see something that I believe can cause problems I will install it separately).
- When finished (if all ok), I will run aptitude dist-upgrade. In your case I don’t believe that there will be very much left (like maybe 2-3 packages).

As I said I have done this several times without any problems (but in case you are doing this remotely and on important data, you should pay special attention at least to the things that allow you to connect to the system – ssh, glibc for ex.).

Let me know if you had any problems.