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.
Hull Kingston Rovers have confirmed that experienced halfback Terry Campese has joined them pn a one-year deal ahead of the 2015 campaign.
Leigh Centurions have confirmed that Fiufui Moimoi has signed a one-year deal with the club, with the option of a second year.
The UK Parliamentary Rugby League Group has given its backing to a fans' boycott of the BBC's annual Sports Personality of the Year award.
Featherstone Rovers have confirmed that they are still waiting for the paperwork for Ryan Verlinden's move to the club to be confirmed.
BARLA have confirmed the ties which will make up the first round of the National Cup, and it has thrown up some intriguing contests.