Headlines in France yesterday ran - Benzema and Lyon, It's Over.
There were also reports that he had posed in a United shirt during the day, but also quotes from his entourage that he preferred the idea of playing with Kaka and Ronaldo at Real Madrid.
Marca are reporting that, should Madrid up their offer, a deal could be done within hours.
Madrid's chief director, Jorge Valdano has, this morning, repeated Florentino Perez's claim that the club could announce another signing shortly.
"We do not discard the possibility that in the next few hours, something could happen," Valdano told Onda Cero.