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.
Fitter, stronger and more in tune with the local community is the aim in 2016 for new Rochdale coach Alan Kilshaw.
London Broncos will soon confirm that they have signed a PNG international to bolster their backline for the 2016 season.
Sheffield Eagles will be playing their home games in the city of Sheffield in 2016, it has been confirmed.
Leeds coach Brian McDermott is relishing the chance to take the United States to the Rugby League World Cup in 2017.