Pirates have been tracking Kambole for quite some time, having met with officials from his club in February with a view to bringing him to Mayfair.
Kambole did his prospects of a PSL move no harm by hitting a brace in Chipolopolo's COSAFA Cup final loss to Zimbabwe at Peter Mokaba Stadium on Saturday.
According to a source, Bucs official Floyd Mbele was in attendance at the regional showpiece in Polokwane last week.
"There was a discussion between the club [Zesco] and Orlando Pirates in February after the CHAN tournament regarding the player," says the informant.
"There has never been any update since then. I believe Floyd Mbele was in Polokwane but I am not sure if it was regarding the deal with Kambole."
Pirates, who currently have Zambian attackers Justin Shonga and Augustine Mulenga on their books, are expected to announce their new signings this week.
Meshack Maphangule, Paseko Mako, Abel Mabaso, Linda Mntambo and Ben Motshwari are among those in contention to don the Buccaneers jersey.