The number of people allowed to visit the Diana, Princess of Wales, Memorial Fountain may be restricted.
The memorial fountain was opened by the Queen in July
The fountain has remained closed since an accident on 22 July in which three visitors slipped and hurt themselves when paddling in the water.
As a result, the Royal Parks published recommendations including reducing visitors, increasing attendants and introducing "clear rules of behaviour".
The £3.6m fountain in Hyde Park was unveiled by the Queen on 6 July.
The Royal Parks report was drawn up after health and safety experts, designers, and engineers were called in following the accident.
Other options include roughening of certain areas of the fountain and replacing grass around the edge of the memorial with some form of hard standing to avoid slipping.
'Safely and happily'
Greg McErlean, from the Royal Parks, said: "We examined having something that was `look but don't touch', but that was discarded immediately as being counter to the point of the memorial.
"We considered leaving it as it is, with some extra anti-slip texturing.
"That option wouldn't tackle the impact that the huge numbers of people were having.
"It is these numbers that we need to look at, to ensure that people are able to come and enjoy the memorial safely and happily."
The report will be discussed in detail with the Department of Culture, Media, and Sport and other stakeholders.