They asked me to make a speech on short notice. - English example sentence

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Shiawase June 12, 2011 June 12, 2011 at 8:10:38 PM UTC

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Interestingly the New Oxford American Dictionary only gives "at short notice". I wondered if it might be British usage but there's no notation. If it was British it might also explain the prevalence of "on" on the Internet – more users of American English.

Checking the OED, (I've just found I have free remote access through my library card!) they only have "at short notice" with the earliest usage noted in print in 1785.
There is reference to "on short notice" in an American quote about ploughs but I can't seem to access it.

I think I usually use "at". (also with the related phrase "at a moment's notice")

In any case it's worth having both constructions.