The decree was never carried on state media nor published in the official gazette as would be normal practice.
Aides said the Crown Prince would prefer to save such a deal for the incoming administration.
King Salman calls for world to stop appeasing Iran, reaffirms support for Arab Peace Plan between Israel and Palestinians.
The 56-year-old princess cited "very critical" health issues in her plea.
Saudi Arabia detained the king's bother, Prince Ahmed bin Abdulaziz, and the king's nephew, Mohammed bin Nayef.
MbS is spearheading a massive transformation of Saudi Arabia to move past being an oil-dependent economy, to move toward a moderate Islam and into a peaceful and technologically advanced future.
Under Vision 2030 plan, naturalization to be available to scientists, senior specialists
Rumors are flying saying that the prince has been giving Lohan lavish gifts and flying her around in his private jet.
There was no immediate reaction from Riyadh which was sent the 100-page report in advance - but the kingdom has regularly denied accusations that the prince was involved.
Amr Madani, chief executive of the Royal Commission for al-Ula, said in an interview this week he expects targeted investments to eventually generate 35,000 jobs.