Can I use a '87 560SEL transmission in my 380SEL?

[ivanlee190e]

My transmission of my '81 380SEL is on its way out. It is shifting very slowly when putting in D or after coming to a complete stop (I have to do incomplete stops at stop signs, lights, and reverse is fine) it takes about 15 seconds to shift.

I have access to a '87 560SEL transmission that shifts perfectly; the owner is a friend and used it a few years ago when his car knew better times.

As I understand, both transmissions are of the group 722.3XX (the last two digits obviously vary) and they use the same modulator. I am not looking for perfection of the part numbers, I just want to know if the tranny will have the capacity to adapt to my 380 engine. Once again, not looking for pristine stock specifications. Thanks to all