The 29-year old is also a target for Motherwell as his St Mirren Park stay looks set to come to a close but Shiels is hoping to beat Stuart McCall to the signing of the former Ross County and Dundee man who kicked off his career with Killie over a decade ago.
"The agent has spoken to my chairman as far as I know," said Shiels.
"We need another goalkeeper, we need two vying for the one position. We have one at the moment and we've got a kid coming in from Ireland.
"Of course I'm interested (in Samson) and I'm also interested in other goalkeepers whose contracts are up."