The Wirral official took charge of the last ever Ninian derby and awarded a highly contentious penalty with the Swans 2-1 up in stoppage time.
"I was surprised to see that Mike Dean had been appointed for this particular game," Jenkins said.
"Probably most people will say it is quite a strange choice to make, and also some of our fans might think it's a chance to put right the wrongs of what happened in the game at Ninian Park.
"But on the other hand, you have to say that every referee goes into these games and does his best.
"Every referee gives what he sees and we have to accept that.
"I just hope that in games like this - in any game - the better team on the day wins and the referee does not have to make any decisions that could change that.
"Let's hope the football decides the result on Sunday."
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