Do the pair secretly hate each other despite their ever-determined stance to be professional and take the analysis in their stride?
Prior to Liverpool's visit to Swansea in the Premier League the duo were debating the virtues of full-back play.
And Carragher believes nobody ultimately wants to play in the position - uttering the memorable line 'No one wants to grow up to be a Gary Neville.'
You can check out the clip below:
Does he have a point?