It is in the absence of his vice-captain that Bradley has shone, deputising for Alexander-Arnold while he has been on the sidelines with injury.
On Wednesday night, though, he had his best performance to date, scoring one and assisting two more in a 4-1 demolition of Chelsea at Anfield, with Alexander-Arnold on the bench.
As a result of his showing, Mail Sport columnist Sutton believes that the 20-year-old has to start for the Reds when they travel to the Emirates on Sunday in a game that could prove pivotal in the title race.
Conor Bradley has been superb deputising for Trent Alexander-Arnold scoring against Chelsea on Wednesday night
The defender now has three assists - the same as Bruno Fernandes in the Premier League
Chris Sutton told It's All Kicking Off that he believes Bradley is now undroppable for the Reds
'I tell you what I thought was interesting - Jurgen Klopp had Alexander-Arnold on the bench and Andy Robertson,' Sutton told It's All Kicking off. 'And they've been his go-to fullbacks for years and years and years.
Bradley has a goal and three assists in the Premier League from just two games
'I think it was a great message, which he actually sent out to them and the rest of the team that Conor Bradley's played superbly well, and so has Joe Gomez, and they have the jersey at this moment in time.
'It's a message to Trent and Andy Robertson that they're gonna have to work their way back into the team. I actually think that it will be the same at the weekend, and I think Bradley is undroppable at this moment in time.'
Mail Sport's Chief Football Editor Ian Ladyman agreed that Bradley had been thoroughly impressive before pointing out that the teenager now has as many Premier League assists as Manchester United captain Bruno Fernandes this term.
As a result of his prominence, debate circled round to whether it could prompt a move for Alexander-Arnold into midfield, allowing Bradley to continue his progress at right back.
The England international's position has been the subject of much discussion in recent years; while his defensive work has often come under the spotlight, his creative skills are undeniable.
He has been played in the centre of the park for both club and country, but the clash with Arsenal will be of particular significance with the visitors able to stretch their lead at the top to eight points with a victory.
Sutton maintained that Alexander-Arnold might find himself on the bench on Sunday, adding: 'You're into that debate, whether Trent should play in the centre of midfield.
Jurgen Klopp's side can open up an eight-point lead at the top with victory on Sunday
Alexander-Arnold has an impressive record against Arsenal but is coming back from an injury
'But last night, the balance of the team and how hard they worked and got up to the ball, Curtis Jones, (Dominik) Szoboszlai and (Alexis) Mac Allister, they were phenomenal the way they pressed. So Trent's gonna have to bide his time a little bit.'
However, Ladyman disagreed, claiming that Jurgen Klopp will leap at the chance to select his best XI for the game, responding: 'If I was Jurgen Klopp, you pick your strongest team. You pick your strongest team for the biggest games.
'Trent Alexander-Arnold's fit. I'm sorry, Conor Bradley, you've had a brilliant run. You'll get games again, but I think you're on the bench for this one.'
One statistic that will be firmly in the favour of the England right back is his stunning record against Arsenal; in 15 appearances Alexander-Arnold has nine assists - more than against any other opponent - and has lost just twice.
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