The rivals were all covering the Queen's final journey from Buckingham Palace to Westminster Hall when Kochie took the opportunity to take a light-hearted swipe at Karl.
Posting on his Instagram Stories, Kochie shared photos of the crowd watching the Queen's procession.
He then posted a photo of Karl behind a fence looking at Kochie, with his hands wrapped around the bars.
"Gotta keep the rif-raf out," Kochie captioned the image as he tagged Karl.
The Today host clearly appreciated the jab, sharing the snap on his own Instagram Stories.
Meanwhile, Nat has shared a behind-the-scenes look at broadcasting from a makeshift tent outside Buckingham Palace.
Showing off two wristbands, Nat said they couldn't go anywhere without them.
She then filmed the tent where her crew was set up, calling it "home for the next 10 days".
As she panned the camera through the tent she caught Kochie getting his makeup done as he covered his face from the camera.
She then showed off their chairs as part of their set-up, which she said they had purchased from a camping store in central London.
Fans praised the behind-the-scenes look at their coverage of the Queen's death, with many fans saying they were doing a "great job".
"You two have been superb. Honestly, your sensitive coverage of this deserves an award," one said.
"Thanks for sharing. It's interesting to see behind the scenes and how you all put it together. Looks like a big job," another commented.
Both Sunrise and Today will be broadcasting from London until after the Queen's funeral on Monday.
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