Additional measures are not needed in England at this point, the health secretary says.
Home Secretary Priti Patel says police will change their plans to "properly" reflect the situation.
Buckingham Palace says she has "reluctantly accepted medical advice to rest for the next few days".
It follows a number of reports of women being spiked by injections on nights out.
Several airlines have been told by the Moroccan government that flights will be suspended.