English version

a big head

From Longman Dictionary of Contemporary Englisha big heada big headinformalPROUD the opinion that you are much better, more important, more skilful etc than you really are I suppose I did do OK, but I’d be silly to get a big head about it. head
Examples from the Corpus
a big headHe described the assailant as a tall man with a big head and bushy hair.
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