- 4 updates
Barristers David Sherborne and Carine Patry Hoskins reportedly went on holiday together to Santorini in August, days after the public hearings concluded and months before the inquiry ended.
But they are said to maintain that their relationship did not begin until after the Leveson Report was published in November.
Reports suggest Mr Sherborne, 44, and Ms Patry Hoskins, 40, did not tell Lord Justice Leveson that they had become close and he only learnt of their trip to Santorini in recent days.
Carine Patry Hoskins became known as the "woman on the left" in reference to her regular seated position during the Leveson Inquiry's televised hearings.
She served as the junior counsel in the Leveson team led by Robert Jay QC.
Barrister David Sherborne represented phone-hacking victims at the Inquiry, most notably Hugh Grant, and questioned Daily Mail editor Paul Dacre on the newspaper's coverage of the actor.
Lord Justice Leveson's letter responded to Conservative MP Rob Wilson, who had demanded the judge examine the relationship between Carine Patry Hoskins and David Sherborne.
Mr Wilson wrote to the Bar Standards Board requesting an investigation into the impact of the barristers' private relations on the role both played during the inquiry.
Lord Justice Leveson said it was "a matter for the Board to decide, what, if any, action to take", adding: "In the circumstances, I do not comment further."
But he unequivocally defended the role of Ms Patry Hoskins, who he said had "absolutely no input into any conclusions" reached by the inquiry.
Lord Justice Leveson has rejected claims that a previously undisclosed relationship between two of the barristers in his inquiry into press freedom threatened the legitimacy of its subsequent report.
The judge has said today in a letter that there was "simply no room" for a "breach of confidence or other conspiracy" as a result of personal relations between Carine Patry Hoskins, the inquiry's junior counsel, and barrister David Sherborne.