No, if you have an LSD, it will suit a T series diff. No LSDs (that I have ever heard of) were available for S series.
So your LSD centre will fit any T series diff. However T series diffs were available with 2 axle sizes - small (early AE86 and all other Celicas, Coronas etc) and big (late AE86 only).
Incidentally, S and small T axle splines are the same, but irrelevant here. S and T series diffs are in no way compatible, either axle-wise or centre-wise.
Hen
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