From Longman Dictionary of Contemporary Englishthere’s no danger of somethingthere’s no danger of somethingused to say that something will not happen There’s no danger of confusion. There’s no danger of Darren ever getting up early. → danger
Examples from the Corpus
there’s no danger of something• Slides would be built over a mound, so there's no danger of children falling from a height.• The wheels aren't sharp, so there's no danger of cutting yourself. 