From Longman Dictionary of Contemporary Englishdon’t hesitate to do somethingdon’t hesitate to do somethingNOT DO somethingused to tell someone that it is correct or right for them to do something and they do not have to worry about offending anyone Don’t hesitate to contact me if you need any more information. → hesitate
Examples from the Corpus
don’t hesitate to do something• Don't hesitate to call me if you need any help.