The Serb made two horrendous mistakes in the Capital One Cup semi-final against Swansea which led to their two goals, for which he apologised immediately afterwards.
Benitez revealed he has been forced to have a heart-to-heart with Ivanovic to reassure him that his place in the team is safe.
Benitez said: "He's quite emotional. Mistakes affect him maybe too much.
"I told him I would not be blaming him. We will analyse things but that's it.
"I'm really pleased to work with him. He has a lot of passion which can be a positive but can also be dangerous.
"You have to have balance. The other day he was really disappointed but I told him 'I'm blaming nobody for a mistake' and I have no hesitation in picking him.
"He said 'sorry' but when you are doing your best you don't have to. It just shows he's a great person."