The Newmarket handler has high hopes for the four-year-old gelding, who is one of 11 declared runners in the mile-and-a-quarter race at 4.30pm.
Monsieur Glory won over this course and distance last July, when he was trained by Tom Dascombe.
The son of Monsieur Bond will be having just his second outing for first-season trainer Clover after he finished second at Yarmouth on May 2.
Clover, who was assistant to David Simcock for five years, said: “On paper, this race fits in quite well with him.
“He’s won over course and distance, he will like the ground and he seems in really good form.
“He’s quite a big horse and takes a bit of getting fit, so I’m hoping he has gone forward since that Yarmouth run.
“You’d also like to think there’s some natural improvement, turning from a three- to a four-year-old, so we go there optimistic he should go quite close.
“It’s also good to have Paul on board as he probably rides Beverley better than anyone.”
Clover, 31, is based at Wroughton House Stables and is working in partnership with Jackie Jarvis, daughter of the late Classic-winning trainer Michael Jarvis.
He will be seeking a second career winner after young colt Declarationoflove won so well at Windsor on 8 May.
The trainer added: “The owners are obviously keen on a big day out at Royal Ascot with him, so the Windsor Castle might be the race to go for.
“There’s also the Super Sprint at Newbury, where he would have a lovely racing weight and should love running over a fast five furlongs.
“It was very pleasing to get that first winner and hopefully we can carry on in a similar vein at Beverley with Monsieur Glory.”
Feature race at Beverley is the £8,000 Dr Eddie Moll Handicap (4.00) over eight and a half furlongs.
Jacbequick won the race by a neck 12 months ago and goes for the double for jockey Josh Doyle and trainer David O’Meara, who also saddles Sunglider and Haraz.
The going at Beverley is good to firm after five millimetres of rainfall on Sunday night.
Half-Term Raceday at Beverley will give racegoers the opportunity to meet players of Betfred Super League side Hull FC, who are on the Westwood to join in with interactive training routines and games.