LONDON — The British Museum wants it. The Museum of London does, too. So does the Bishopsgate Institute, which runs an archive of the history of protest.

“Trump Baby” — the 19-foot balloon that mocked President Trump during his recent trip to Britain — is in demand among museums here, who want to add it to their collections.

The British Museum is in early discussions with its creators to fly the balloon in September, when an exhibition on the history of dissent and protest opens there, a spokesman for the museum said. The Museum of London and the Bishopsgate Institute are offering a more permanent home, although both realize that displaying it may be difficult. “We’d need to work out how to do that,” said Stef Dickers, an archive manager at Bishopsgate. “You could definitely come in and look at ‘Trump Baby,’ you just might need to bring your own pump.”

Other London museums also considered trying to acquire the balloon. Tom Wilson, the head of the collection at London’s Design Museum, said in a statement that the balloon represented “an important protest moment” and reflects the changing role of design in political expression, but the museum simply does not have the space to display something so big.