I thoroughly doubt it.
The axles are about double the size and the bearing od's are probably bigger so if you were to try it you would probably need to weld on some new bearing carriers. My F series also runs a double row bearing which i havent seen any t series diffs use. The rear caliper brackets are probably different also.
If you would like i will get some measurements of my f and t (celica) diffs and get back to you but i highly doubt theyll be interchangable.
Assuming you can get an f series center and axles then you probably can get a complete diff which is what i would suggest. They are available in very suitable lengths for sprinters and some come with discs as standard.
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