No, really -- it was reported in the Japanese media early Sunday, and confirmed by this post at sfgate.com:
Japanese free-agent Kosuke Fukudome has decided not to move to the Yomiuri Giants and will sign with a major league team instead, the Nikkansports newspaper reported Sunday.
The Nikkansports article (here is the original Japanese language article if anyone wishes to try to make an accurate translation) says that the Cubs, White Sox and Padres are the three teams interested. No other MLB teams are mentioned.
Prediction: this is done by the middle of the week and he becomes a Cub. Hat tip: MLBTR