The 42-year-old has made a significant impact during his short time as Middlesbrough manager.
Despite losing 3-0 to Watford - where Edwards had a brief stint as boss in 2022 - last time out, Boro sit second in the Championship table after 13 games of the campaign.
Four successive wins from the outset certainly helped, a run that earned Edwards the Championship Manager of the Month award for August.
While Coventry lead the way, having caused mayhem in attack under Frank Lampard thanks to the likes of Brandon Thomas-Asante and Haji Wright, Boro have gone about their business far more quietly.
In contrast to the Sky Blues, Boro’s stubborn defence has been the foundation for their upturn in fortunes under Edwards.
Indeed, only Stoke City have conceded fewer goals than Middlesbrough in the league so far this season, and the trend was similar during the former Aston Villa and Wolves player’s time as Luton Town boss.
During the Hatters' promotion-winning campaign in 2022-23, only champions Burnley conceded fewer goals than Luton's tally of 39 during the regular season.
READ MORE: Rob Edwards Emerges as Leading Contender for Wolves Job After Vitor Pereira Sacking
For a club like Wolves, who currently sit rock bottom of the Premier League, having failed to win any of their opening 10 games of the season, while conceding at an alarming rate of 2.2 goals per game, it's obvious to see why they want someone who can shore up their leaky defence.
So, it's perhaps no surprise to see Edwards, and former boss Gary O'Neil, being linked with the vacancy at Molineux.
Edwards does, of course have a strong connection to the West Midlands club.
The former centre-back made 111 appearances for Wolves between 2004 and 2008 and started his managerial career in the club's youth system before being made interim manager of the first team in 2016 following the sacking of Italian Walter Zenga.
After spending one year as boss of Telford United, Edwards returned to Wolves to take charge of the club's Under-23s - who he led to promotion into the top tier of Premier League 2 in his first season.
It proved to be the platform to kick-start what has been an impressive managerial career so far for Edwards - who brought success to both Forest Green Rovers and Luton and is doing so just months into his tenure at the Riverside Stadium.
There has been just the one mis-step - a very brief, brutal and painfully short spell at Watford, a club that change their manager more often than some clubs change their team selection.
Since then, his stock has certainly risen, although that could potentially bring some telling calls with it.
Should he be the prime contender to replace Vitor Pereira, Edwards could be faced with a brutal call to make.
Does he return to a club that has been such a huge part of his life, and who now find themselves in peril?
Or, does he play the long game and build on what he has already implemented at Boro - a club that could more than feasibly replace Wolves in the top-flight in around six months’ time?
Having been boss when Luton finished 18th to drop back into the Championship after the 2023-24 campaign, few would begrudge Edwards another crack at the big time.
But it could become a case of stick or twist as to how he decides to get back there.
Wales boasts a rich history of managers in the Premier League, although it is now almost exactly a year since Steve Cooper - the last Welsh boss in England's top-flight - was sacked by Leicester City.
Ahead of Boro's midweek fixture with Leicester, Edwards was pressed on the links to Wolves, and it appears he may be opting - publicly, at least - to play the long game after all and look to repay the faith the north east club showed in him when they handed him a three-year contract in June.
“It’s all speculation," he said.
"I never get drawn into stuff that’s all hypothetical, and I don’t want to get drawn into that. I love being Middlesbrough manager – head coach, I should say – and that’s all I want to think about."
Loyalty may not be as key as it was in the game a few decades ago, but should Edwards continue to thrive at Boro and take the club into the top-flight for the first time since 2016-17, his already high reputation would only increase even further.
