The 23-year-old inspired Sporting to a 5-0 win over Rio Ave and his recent form has raised calls for Portugal coach Carlos Queiroz to name him in the squad for the finals.
"Yannick Djalo, three goals with the World Cup in sight," said the Maisfutebol site.
"Djalo has been told he has one foot in the World Cup, and that only a serious injury will keep him out of the squad," said the Diario de Noticias daily without citing a source.
Competition for the spot decreased when an ankle injury ruled Porto's Silvestre Varela out for the season, and Ricardo Quaresma makes only rare appearances for Inter Milan so is unlikely to be in contention.
"We're following Rui Patricio, Fabio Coentrao and Djalo. They may play in the World Cup, but they are also the base for our team for Euro 2012," Queiroz said last month.
