The seven-year-old was invited to Bute House to meet Mr Salmond and present him with the drawing.
And while the SNP leader said he was “touched” by the schoolboy’s handiwork, he is said to have joked that the youngster should come back another time with a different version.
The visit last week was the finest honour yet for Jack, who raised more than £32,000 for Edinburgh’s “Sick Kids” hospital by penning more than 500 drawings in return for donations.
The First Minister’s portrait, drawn on the day after the SNP’s election victory last May, had remained in a drawer at Jack’s home in Prestonpans, as his father Ed could not remember who had requested the Cockenzie Primary pupil to capture something that was in the news that historic day.
Mr Henderson said a visit to Bute House to present the First Minister with his portrait had been suggested by his deputy, Nicola Sturgeon, when they had met her last autumn.
He said: “I had to remind her about it via Twitter, but she was very apologetic and promised to do what she could and we were then invited along to meet Alex Salmond.
“Mr Salmond seemed a wee bit surprised when he saw the portrait, I think he maybe thought it wouldn’t be so much of a caricature, and joked to Jack that he could come in for another visit if he wanted to have another go.”
Mr Salmond said: “I was very touched by Jack’s drawing of me and I’m pleased to say his autographed copy of Jack Draws Anything now has pride of place on the Bute House bookshelf.”