But the move for Edwards does not now seem likely, as there is a chance he will maintain his involvement in England's Premiership with a part-time role at another club.
Edwards has been strongly linked with a move to Leicester Tigers.
Edwards has made a big impact - Warburton
"Shaun really gets switched on and motivated by weekly rugby and he wanted to keep a link with the English Premiership," WRU group chief executive Lewis confirmed.
"He's currently in negotiation with an English club. He won't leave the Wales camp in Test week, but there will be an opportunity for him to keep his hand in with the Premiership."
Wasps had been Edwards's main employer
prior to his exit this month
with his part-time Wales role allowed only under the sufferance of his club, but now the WRU will be his main employer and his Wales duties will take precedence over any additional work.
That work will include working with Wales' rising talent and at Welsh Premiership clubs.
Lewis added: "We've managed to secure some additional things with Wales with Shaun, not only extending his time with the national team, but also most importantly working with our national academy, working with our 20s, 18s and our 16s.
"Because those guys will be featuring in a Welsh squad in 2015 [World Cup]."
Edwards helped Wasps win two Heineken Cups and four English Premiership titles in his 10 years at the club before he left.
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