Yes it should work with no problems. I have the original version and I updated it to 2.1 and it plays without a hitch, didn't even need to put it in 95/98 compatibility mode. I am running XP Pro with a FX5600 card and a 2.0ghz AMD, I also have a Soundblaster LIVE card. The game isn't even processor dependent (as in: "it runs too fast on a newer PC"). Running in the game is a tiny bit fast, but managable. You have a walk option that helps if it's too fast for you. Would also say not to give up on the game if you have not got to mission 3. The first two missions give you a really wrong idea of the game, but from mission 3 onwards you will be surprised at the change and the enjoyment factor compared with the first two missions.
Good luck with the game. Hope the above helps!