The musician Paul McCartney is one of loads of people who say the hedgehogs can come and live with them.
But they're racing against time to save the prickly creatures.
Scottish Natural Heritage has hunters on the island of Uist trying to find and kill them, because they're eating rare bird eggs.
So far animal welfare groups have already managed to rescue 30 hedgehogs and take them from the island to the mainland.
And many people have offered money so they can go and live at a wildlife sanctuary.
Garden homes
Some are going straight to people's homes, the ones that are weaker are being looked after before being released.
Only people who have really good facilities in their gardens are being allowed to have the hedgehogs.
But people opposed to the rescue say the hedgehog groups may not be helping the animals in the long-run.
They think the groups haven't properly looked at how well they creatures will survive in their new homes.
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