Yes it will work, but be careful that you get the correct outputs and inputs. Otherwise, at best the quality will be poor and at worst you could damage your tape recorder.
If you have a soundblaster or equivalent soundcard then just use the output that you would normally send to your amplifying (powered) speakers. Use a T splitter if you like, so you can monitor on the speakers at the same time.
Start of with a low setting on both the MIC input gain on the tape recorder and a fairly low output on the PC volume, suck it and see.
Getting the recortding levels correct is a real trial and error thing and it does depend a lot on your recorder. As a rule use gain on the PC rather than the recorder to up the level. Also use manual gains rather than the automatic gain control that many newer recorders have.
Lastly use a good quality lead and put the recorder as far as practical from the PC. Do not have loops in the wire. This avoids lots of stray noise.
Have fun..