The event, which sees penguins walk next to their enclosure, takes place on weekends and is a “firm favourite” with visitors.
Jo Elliot, curator for the Royal Zoological Society for Scotland (RZSS), said: “Due to an increased risk of avian influenza in the UK we have made the decision to postpone our Wee Waddle for the foreseeable future.
Several years ago, the parade was halted over similar concerns.
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When the UK was declared to be free of avian influenza in May 2024, the penguins were again allowed to explore outside of their usual habitat.
Elliot added: “We have strengthened our bio-security measures on-site, increasing the amount of disinfection points to keep all of our bird species safe from the virus.
“While we know the Wee Waddle is a firm favourite with our visitors, protecting all of our animals is always our top priority.”