But Woodward, who met 20 of his players yesterday, said that they are "more than cool" about the training days.
Players will be asked to take part in no more than 32 matches next season, covering 10 international games and 22 Premiership matches.
Woodward was speaking at Twickenhamthe day after the directors of the 12 Zurich Premiership clubs failed to attend a meeting with him to discuss all aspects of the run-up to the World Cup.
"I was desperately disappointed that the directors of rugby were not there," said Woodward.
However, in a statement Premier Rugby said: "The Board of England Rugby directed the performance department, including Clive Woodward, to accept the invitation from the clubs' Directors of Rugby to present-his proposal at a specially convened private meeting with the aim of reaching common ground.
"Unfortunately the nature of this meeting was substantially changed, and not in line with the agreed England Rugby decision."
Meanwhile, Six Nations rugby chairman Allan Hosie has dismissed claims that negotiations for a new four-year championships television deal have broken down after the BBC offered just £70 million for the rights.
