In an interview on Monday, Bradley Wiggins - victor of the Tour de France in 2012 - claimed to be the victim of a "smear" campaign as he - as Sky have also done - strongly refuted any claims of wrongdoing.
The awkward gaffe happened as Phillip chatted to expert guests Roger and David about whether or not Sir Bradley was an innocent man after a bombshell report by MPs said the Tour de France victor and Team Sky "crossed an ethical line" by using asthma drugs to enhance his performance.
He also flatly denied a report there had been a small group of Sky riders taking corticosteroids in the build-up to the 2012 Tour de France, which was won by former team-mate Wiggins.
"It's unfortunate that more teams, including Sky, aren't members of the MPCC".
The Select Committee's report was critical of Team Sky's use of Therapeutic Use Exemptions for triamcinolone, which Wiggins took several times to treat severe pollen allergies.
Team Sky and Bradley Wiggins have both strongly denied that any drugs were used, or any TUEs granted, without a medical need.
That conclusion was partly based on evidence from Sutton himself, who told the committee: "What Brad was doing was unethical, but not against the rules".
"I am told by the doctor he needs a TUE for this event etcetera etcetera".
"It's a very grey area with these substances because they're not permitted in competition but you're allowed to take them out of competition".More news: Conrad is Meghalaya CM, Biplab named for Tripura
More news: Frances McDormand's two words in 2018 Oscar speech: 'inclusion rider'
More news: Shots fired at north Georgia high school, teacher in custody
Realising his error after an ad break, Phillip quickly apologised for the mix-up, quipping: "Sorry, I think I mixed up Sir Bradley Wiggins and Bradley Walsh earlier", as co-host Holly Willoughby laughed next to him.
"I'm not sure we can have the decision before May's Giro d'Italia", Lappartient told the BBC.
And he has questioned Brailsford's continuing role at the head of the team.
"If I was in a different team, maybe it wouldn't - but the way the world is at the moment, it's going to come out and people are going to judge me on that". I refute that 100%. "I really would like to know. Right now I'm here to race Tirreno and I'm focusing on that". I've been there for eight years, since day one.
"I have never seen anything like that".
"I've seen that accusation, but that's complete rubbish", insisted Froome. "It is not my experience within the team, that that is how the team operates".
The "jiffy bag" was said to have been for Bradley Wiggins - team principal David Brailsford claimed it contained a legal decongestant - but the team could produce no documentation to support their claims.
"I am proud to be part of the team". The British team has long resisted pressure to join the MPCC, which follows agreed anti-doping protocols.
The 31-year-old has also excelled in his supporting role as a "super-domestique", helping Froome win four Tour de France titles.