The South Africa international is currently a free agent having parted ways with Belgian First Division A club KV Oostende last month.
Chiefs, Sundowns and Pirates are known to have registered their interest in Jali ahead of the PSL July-August transter window.
SuperSport chief executive officer Stanley Matthews has now disclosed that they approached Jali's agent, Mike Makaab, but the player's demands were beyond the Tshwane giants’ budget.
"I don't think there's a club who wouldn't want to sign Jali. He is fantastic footballer,” Matthews told IOL.
“Yes, I did call his agent (Mike Makaab) to inquire about his situation,” he said about the hard-working central midfielder.
“But we can't afford him. His demands are too steep for us," Matthews explained.
Chiefs are reportedly leading the race for Jali's signature, but Sundowns are said to be looking to counter the Soweto giants’ offer.
Meanwhile, Matthews also confirmed that SuperSport are set to release Kingston Nkatha and Tefu Mashamaite after the club decided against renewing their contracts which are due to expire in June, 2018.
"Kingston and Masha are leaving the club. We didn't renew their contracts,” the Matsatsantsa club official said.
Promising defender Denwin Farmer is expected to leave SuperSport and join Maritzburg United on a permanent deal, while Matthews confirmed the signing of Bidvest Wits striker James Keene on a pre-contract.
“We need to find their replacements. Yeye (Reneilwe Letsholonyane) and Morgan (Gould) are staying. Denwin Farmer is joining Maritzburg United on a permanent deal,” he added.
“James Keene has also joined us. We wanted to sign him in January but Jose Ferriera (Wits CEO) said no. We lost Jeremy (Brockie who joined Mamelodi Sundowns) and Bradley (Grobler who was ruled out of the season with an injury),” Matthews explained.
“Jose asked us to do the deal at the end of the season when they are in a better position. He is my friend and former colleague, so I respected that," he concluded.