The two sides played out a thrilling 2-2 draw at Old Trafford earlier this month, after which Benitez claimed his old rival had avoided the pre-match gesture. Sir Alex denied this had been the case.
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"The local manager, which I will be in this case, will look for the away manager to shake his hand," he told reporters.
"But in the other game, if you look at the DVD with all the images, you can see a photographer was talking with him [Sir Alex] and you can see the clip that he did not look at me. So it was not me.
"I will go anyway and I will try to shake his hand. We will try and do our best and, hopefully, not have a situation like that and we can just talk about football and enjoy the match."
Chelsea have only won four of their last nine matches in all competitions, but Benitez remains confident his side can secure a top-four finish and challenge for silverware.
"I have confidence we will finish in the top four and, hopefully, we will win one or two trophies," he added. "Still we are there. I have the belief and confidence in these players because they have the quality."