The 29-year-old equestrian - who is the daughter of Princess Anne and her first husband Captain Mark Phillips – and her rugby player fiance Mike Tindall may sell their wedding pictures to the magazine like her brother Peter Phillips did in 2008.
A source said: “Zara and her family have a very good relationship with Hello! and were delighted by its coverage of her brother’s wedding.
“Hello! told them in the past that they would be keen to cover their wedding when they got married and will seriously consider the offer.”
Zara and Mike announced their engagement in December after dating for seven years and despite rumors senior royals were upset when Peter sold his wedding photographs to the magazine, a friend of Zara’s said this was not the case.
The friend added to the Daily Telegraph: “It’s not true that the family were unhappy. They thought the pictures were lovely.”
A spokesman for Zara said Hello! has not made an offer for their wedding but admitted the publication “puts in a bid about every two months to do something with Zara and Mike”.