The 36-year-old, who has already missed three months of the season with a biceps injury, pulled out of England's clash with the Exiles last week with a groin strain. Wolves' Australian hooker Michael Monaghan was also not risked by the Exiles due to concerns over a knee condition.
Warrington coach Tony Smith said: "Both of them were gutted, they would have loved to have played."
He added: "Anyone who knows Moz knows how much he wants to play for his country, but he handled it really well. By the end of the week he may have been able to play but he wasn't able to train so he (England coach Steve McNamara) didn't use him.
"But he was a big contributor to the camp, I know that. That's fantastic feedback for Moz and about Moz.
"Michael's knee after London wasn't crash hot. He rehabbed it but it wasn't fantastic, so we pulled the pin on him.
"His maintenance of his knee is so important - it's a tough call for him to play an extra game at any stage. He's just coming into form and he didn't want to push things himself."
The pair are both returning to training this week. Their availability will lift third-placed Wolves as they look to cut into the six-point advantage Wigan hold over them at the top of the table in Monday's contest at the Halliwell Jones Stadium.
Smith, speaking at a regular press conference, was unable to comment on reports linking prop Garreth Carvell with a move to Bradford next year.
He said: "He's off contract with us at the end of the season. As for where's going next, that's his side of things."
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- Michael Monaghan