It's unlikely but Giggs is due to have a scan this week.
"I've a feeling Giggs will start full-time training 48 hours before the Cyprus game," said Tosh.
"That would probably mean he would miss out, but we'll wait and see."
He has been out of the Man Utd squad for a few weeks and while Toshack remained hopeful he would make the Wales games the news has come as no real shock.James Collins meanwhile is out of both matches after picking up a groin injury in West Ham's defeat in Palermo last Thursday.