Checking the liver for body temp

I am a recipient of a organ donation. I am also a avid watcher if the
TV show CSI. They use a temp probe check liver temp to give time of
death. Do they do this with an organ donor too? Would this damage the
liver?

I do understand that if the CSI team has to do this to determine the
time of death that the donor may be past time for a donor, but not
always.

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