Yes and no.... Yes, it will fit. It'll bolt right up, in fact. Unfortunately, the 2000 t-case is lacking the rear output shaft speed sensor you need that's on the back of your '97 case. It is possible to retrofit the rear half of your 97 case onto the back of the 2000 case. It's been done before and there's a how-to somewhere around here (I think it was called 'hybrid 44-05' or something like that...).
But the short version is that the 2000 case will bolt right up, but it won't be a plug-n-play affair. Sorry.