short notice

Noun

 * 1) very little warning or preparation time.
 * 2) * February 23, 1966,, Brown v. Louisiana
 * it is difficult to believe that if this group had been white its members would have been asked to leave on such short notice, much less asked to leave by the sheriff and arrested, rather than merely escorted from the building, when reluctance to leave was demonstrated.
 * it is difficult to believe that if this group had been white its members would have been asked to leave on such short notice, much less asked to leave by the sheriff and arrested, rather than merely escorted from the building, when reluctance to leave was demonstrated.

Usage notes
In American English, the preferred preposition is "on short notice", while in British English it is "at short notice"