Given that the American couple are new parents themselves - and since Kim is such a huge fan of Kate's - it's not hard to imagine them sending some baby gifts over to England for the little royal.
The superstar pair have apparently presented Prince George with miniature versions of Kanye's clothing, including hoodies and skinny jeans, according to The Sun.
We're not sure if that's quite the royal baby's style!
Last year, it was reported that Kim had sent the Duchess of Cambridge dozens of items from her recently launched Kardashian clothing collection for Dorothy Perkins, only to have them returned because the royals are unable to accept freebies.
However, Kim later claimed that she had never given Kate any clothes and the rumours were false.
Kate and Wills are currently enjoying their first few weeks as parents to Prince George Alexander Louis out of the spotlight at the Middletons' family home in Bucklebury, Berkshire.
The Duchess gave birth to Prince George on 22 July and gave the country its first glimpse of the adorable new royal the following day, as she and William left St. Mary's Hospital in Paddington, London.
Meanwhile, Kim has been keeping an extra low profile since welcoming daughter North into the world and both she and the baby are yet to be seen in public.
It has been rumoured that Kim and Kanye are considering selling the first pictures of North as part of a $2 million magazine deal, with all proceeds going to charity.
Can you imagine Prince George wearing Kanye's clothing? Let us know in the comment box, as the best comment from across the website each week wins £50!
Check out the first pictures of the royal baby in the gallery below.