Amakhosi's backline took strain in a 2-2 draw with Baroka on Saturday, most notably when Mxolisi Kunene scored a sublime equaliser in the 79th minute at Peter Mokaba Stadium.
Kunene received the ball with his back to his marker just over the halfway line on the right side of the pitch, turned his man, beat another, then bypassed three Chiefs defenders before producing a right-footed finish past a diving Itumeleng Khune.
Komphela accepts his defense remains a work in progress.
"We are people at work, irrespective of the amount of mistakes or people will call it whatever, you've got to stay calm," said Komphela.
"Us bringing it up, you've got to stay calm and look at the situation and correct that; being mad with that won't help.
"We just need to be more emotionally stable and intelligent enough to deal with it. Even if it's hot, you have got to be calm so that you can see things through."
Komphela added: "I thought it was two points lost and I thought the goals we conceded were too cheap for my liking.
"The first goal we missed the ball in the center of midfield and the second goal we allowed the runner 20 meters with the ball without a tackle, we could've done better there.
"But I thought there were stages where we allowed the game to open up. You need to take control of the game, dictate the pace. If the game is like that you hardly settle into positions, whether offensive or defensive.
"The ball was changing hands far too often so we should've kept it with us and determined the direction of the ball."
The Soweto giants, who are unbeaten in 10 matches in all competitions, trail log leaders Cape Town City by three points with nine matches left.
Komphela's men next face champions Mamelodi Sundowns at FNB Stadium on April 1.
Sundowns are five points behind City, but have four matches in hand.