Sleepy, drowsy, or lacking alertness; in British English, it can also mean foolish or silly.
From 'doze,' which possibly comes from Scandinavian roots similar to Old Norse 'dúsa.' The -y suffix makes it an adjective.
In British slang, calling someone 'dozy' means they're scatterbrained, not just tired—it's a insult that suggests someone's brain is as foggy as if they just woke up. American English doesn't really have an equivalent.
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