Veivers, 48, was sacked by the City Reds earlier this season following a turbulent off-season, and has previously served as assistant coach at Bradford and Wigan, ironically to new Reds coach Brian Noble.
The Australian, a full-back in his playing days, has been in this country since he left Queensland for St Helens back in 1984, spending 12 years at Knowsley Road and also playing for Huddersfield.
He said: "I’ve been away from the game for a few weeks, so I’m really looking forward to working with Brian and putting one over on England.
"We’ve named a strong squad, and part of my role will be to keep an eye on the players we’ve already named and those who are keen to break into it. There are plenty of outstanding players who haven’t been named and the door is still open."
McClennan last week named a 27-man squad, to be captained by Warrington's Brett Hodgson, for the game at the Halliwell Jones Stadium on Friday June 14.
Official Super League ball providers Rhino Rugby have released a limited edition State of Mind ball for this weekend's themed Super League round.
It’s that time of year again – State of Mind is taking over Super League in Round 25 once again, and what better time to remind yourself of the 10 ways to look after your own mental health.
Daryl Clark's move from Castleford to Warrington has finally been confirmed.
Sheffield Eagles had to take a long look at themselves after some poor performances this season.
Wigan star Sean O'Loughlin was pleased that the Warriors spent a few days last week training with Bath rugby union club.