Former WBC super middleweight champion Carl Froch feels Harrison "disgraced himself" with his performance.
Magee had previously held the lightly-regarded IBO super middleweight title before losing that belt against Robin Reid.
Froch moved closer to a domestic super-fight with Joe Calzaghe when he was installed as the WBC's third-ranked super middleweight.
The Danish-based boxer was previously rated in the WBC's top-10 middleweights and is the current IBF international super middleweight champion.
The cruiserweight showdown will be the chief support to an equally mouth-watering fight at super middleweight between Joe Calzaghe and Jeff Lacy.
The Belfast boxer previously moved up from super middleweight to light heavy after his bruising Commonwealth title defeat by Carl Froch last year.
Undefeated Calzaghe, 34, added the IBF world super middleweight belt to his WBO belt this year and was named the British Boxer of the Year.
Earlier, America's Jeff Lacy won the vacant IBF super middleweight title by beating Canada's Syd Vanderpool when the referee stopped the fight in the eighth round.
Calzaghe cemented his position as the world's best super middleweight by delivering a masterclass of boxing in comprehensively beating American Jeff Lacy in March to claim the IBF title.
"I'll have more energy in the championship rounds because I was working so hard to make super middleweight that I just couldn't carry my strength through the full twelve rounds, " said Magee.
Froch broke from his usual routine of heading out to Ireland for a four-week training camp and instead spent March in Loughton, Essex, where he sparred with Commonwealth middleweight champion Darren Barker and super-middleweight prospect George Groves.
Froch defends his WBC super-middleweight crown and the fight is also part of the Super Six tournament.
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For most of his record-breaking 11-year super-middleweight reign, Calzaghe chased career-defining fights against boxing's present-day heroes.
Calzaghe, the former world super-middleweight champion, quit boxing last month after 46 unbeaten fights.
Wales' super-middleweight champion is unbeaten in 44 fights but has only fought outside of Britain twice.
Welshman Calzaghe is the current WBC super-middleweight champion with Nottingham's Froch the number one contender.
Lets get things straight I'm a big light-heavyweight and he's a super-middleweight, I think he's seen sense.
"M'baye was top-class but Gavin dismantled him in style, " super-middleweight king Calzaghe told BBC Wales' Back Page programme.
Calzaghe fought Mikkel Kessler in November 2007 for the undisputed super-middleweight crown three fights after his destruction of Lacy.
The 30-year-old has held the WBO super-middleweight belt since October 1997 when he beat Chris Eubank with an emphatic points decision.
The former IBO champion from Belfast was back in the ring six months after his British super-middleweight title defeat to Carl Froch.
The 36-year-old, who beat Chris Eubank to win the WBO super-middleweight title in 1997, has been Welsh boxing's leading light for so long.
For too long Calzaghe, the 11-year ruler of the super-middleweight division, fought mandatory nobodies in sparsely-populated halls as the big boys ran and hid.
Calzaghe enjoyed a record-breaking reign of the super-middleweight division for 11 years after defeating the great Chris Eubank for the vacant WBO crown in 1997.
The 26-year-old previously held the European super-middleweight title but stepped up a division to claim the fringe WBO intercontinental light-heavyweight title against Sergey Demchenko last August.
Mikkel Kessler, Calzaghe's only real super-middleweight rival, tried and failed as the Welshman collected all of the 168lb world title belts in a memorable early morning in Cardiff.
Before that, Calzaghe will defend his WBO super-middleweight title for the 14th time against mandatory challenger Mger Mkrtchyan at the Wales National Ice Rink in Cardiff on 6 December.
The former world super-middleweight champion, who quit boxing this year after 46 unbeaten fights, is said to have been instrumental in setting up a Welsh arm of the charity.
Calzaghe, who held the WBO version of the super-middleweight title for more than 11 years, has been called out at regular intervals by the Froch camp over the years.
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