North Korean state radio reportedly has raised the question of a dynastic transfer of power from Kim Jong-il to one of his sons when the Stalinist leader dies.
Mr. Kim, who turns 63 next month, inherited power from his father Kim Il-Sung in 1994, establishing what has been called the world's first Communist dynasty.
South Korean media report Monday that a recent political commentary on North Korean radio, heard last Thursday, referred to comments by the elder Kim saying his son or even his grandson should complete his work if he falls short of completing the country's "revolution."
Kim Jong-il has three sons, the eldest being 33-year-old Kim Jong-Nam.
His two rivals for a possible succession are 23-year-old Kim Jong-Chul and 21-year-old Kim Jong-Woon.
Some information for this report provided by AFP and Reuters.