The sources told the Italian news agency ANSA a plenary meeting of cardinals and bishops of the Congregation for the Causes of Saints approved a second miracle by Pope John Paul II, clearing the way for his canonization.
The miracle, one which Vatican sources said will "amaze the world," took place on May 1, 2011.
It involved the inexplicable recovery of a French nun from Parkinson's Disease that came about through the intervention of the Polish-born pontiff.
Last month, a board of theologians of the Congregation for the Causes of Saints gave its green light to the miracle.
Tuesday's approval by the cardinals and bishops leaves Pope Francis with the final decision.