The 35-year-old star is rumoured to be marrying Perry, 25, in a ceremony in India in less than a week but reports claim the pair have lots of details that still need to be finalised.
A source said to UK newspaper The Sun: 'They had been trying to arrange a 3D tiger safari for guests as an extra-special treat, but it looks like this won't happen now.'
Brand also recently said: 'We've still got some planning to do and a lot of things that have to be finalised.'
The comic, who recently released his new book Booky Wook 2: This Time It's Personal, revealed that he and Perry are not signing a pre-nuptial agreement before the wedding.