Josh Beckett is said to be "progressing" and has resumed throwing once more, but he will not make the trip to Japan later this week. Terry Francona officially announced this on Sunday.
Beckett will continue playing catch, and by Thursday could be throwing off a mound again. But with an exhibition game in Japan on Friday, and two real games next Tuesday and Wednesday; there simply isn't enough time to get him in good enough form to pitch in a meaningful game. Moreover, the 14 hour flight and general pain in the ass of going to Tokyo is unnecessary for a pitcher recovering from a back problem.
However, another Sox frontline starter may make the trip. Daisuke Matsuzaka's wife Tomoyo gave birth to a boy Saturday morning. This frees up Daisuke to make the trip to Japan.
There's no official announcement as to who will be starting the two games against Oakland in the Tokyo Dome. However, the logical choices now seem to be Lester and Matsuzaka. Wakefield is also a possibility, but he has said he'll be starting one of the exhibition games over the weekend.
Speaking of Wakefield, he threw 5 perfect innings against minor leaguers from the Cincinnati Reds' organization. Granted, it was a spring training game against AAA players, but 5 perfect innings is still impressive.