The previous day Higgins, who runs his own PR firm, had given Gaydamak a thorough media-training session.
Higgins, who confirmed to PRWeek that he was advising Gaydamak, is continuing to counsel him as he settles into his Pompey role.
Gaydamak's billionaire father, Arkady, was last week interrogated by Israeli police over money laundering allegations.
Gaydamak junior is a businessman in his own right – but seven UK companies in which he previously held a directorial interest have since been dissolved.
Higgins is believed to have been introduced to Gaydamak by football agent Pini Zahavi.
Gaydamak is expected to make his first appearance at a Pompey home fixture since becoming co-owner at this weekend's game against Everton.