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.
Castleford centre Michael Shenton says his recovery from a knee reconstruction is going well and he is hopeful of being back on the park for the Tigers this season.
Bradford have signed former London halfback Joe Keyes on a three-year deal.
Ronan Costello's family have revealed that five other people have received organs donated by the young Huddersfield player after his recent death.
BARLA have confirmed that they are to bring in a membership scheme for all Tier Four, Five and Six clubs, beginning on September 1.