The controversial presenter is due on the BBC1 satirical panel show for the third episode of its new run in April, series boss Jimmy Mulville confirmed earlier.
"He is due to present the third episode which I think is in early May. Maybe we will get the producer on so he can hit Jeremy Clarkson live on television."
Mulville refused to comment on the much-talked about incident but praised Clarkson as a "fantastic broadcaster".
"I don't think the BBC know that he is due to be on," he said. "It would be great. Have I Got News For You tries to have a bit of mischief so we will see if he can come on."
Clarkson has appeared on Have I Got News For You a dozen times since Angus Deayton left in 2002. He famously threw a pen at Hislop during a 2008 episode, leaving him with a cut on his face.
"We had to stop recording," said Hislop. "He refused to believe it was blood. He said it was red biro and then apologised to me afterwards."
It remains unknown when a decision will be reached by the BBC regarding Clarkson's future with the broadcaster but he is believed to be "considering leaving anyway".
The BBC is yet to respond to a request for comment on whether Clarkson's Have I Got News For You appearance will be going ahead should his suspension still be in force.
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