Allan Zeman's future as Ocean Park's chairman hangs on the decision of chief executive-elect Leung Chun-ying, since the city's outgoing leader is said to be fine with the businessman serving another term.
Zeman has presided over the theme park's board for nine years, three years beyond the usual six-year limit for heads of statutory bodies.
But Zeman says he is keen to stay on after his term ends on June 30 - the day before Leung takes over - and there are calls for him to do so.
Supporters point to Zeman's success in beating back the challenge from the city's other government-owned theme park, Hong Kong Disneyland, which was expected to take customers from Ocean Park. Instead, the American theme park on Lantau has struggled while Ocean Park has prospered.
Michael Wu Siu-ieng, head of the Travel Industry Council, said as Ocean Park, a key tourist attraction, was undergoing expansion, 'it would be good to have [Zeman] steer the park during this period'.
Paul Leung Yiu-lam, chairman of the Association of Travel Agents, said he agreed Zeman should stay on.
Chief Executive Donald Tsang Yam-kuen will consult Leung on appointments, said a spokesman for his office, and Ocean Park falls into that category.