Admiring the Vasa warship, which sank on its maiden voyage in Stockholm, Sweden, in 1628, Camilla told King Carl XVI Gustaf: "It's pretty impressive. It's unbelievable.
"It is very nice. Perhaps we could borrow it for the jubilee pageant. It would be very nice going down the Thames."
The Vasa, now housed in a custom-built museum, was salvaged in 1961.
Thirty people died when it sank after filling up with water after sailing just 1200 metres down the harbour.
More than a million people visit the tourist attraction in the centre of Stockholm each year – but most are not allowed on board.
After leaving the museum, the pair put on white coats for a visit to the Salta Kvarn mill and bakery in Jarna.
They put on hats while being shown inside the building, with Queen Silvia protecting her hair with a hairnet. The headgear seemed to give Camilla the giggles, as did tasting some of the raw sourdough in the bakery.
The couple were also given some of the finished product to try by head baker Manfred Enoksson.
Charles and Camilla said their goodbyes to the Swedish royals at the bakery, with the Duchess curtsying after kissing Queen Silvia.
They are now travelling to Copenhagen, Denmark, for the final leg of their eight-day tour of Scandinavia to mark the Queen's Diamond Jubilee.