The obligation of due diligence in international law corresponds to a generally recognized international legal duty of States to not let their territory to be used harmfully for other States. Recently, the attention towards this obligation in the theory and practice of international law has increased in the context of the discussion of application of existing rules of international law to cyberspace. In the light of recognizing the applicability of the general international principle of due diligence to the behaviour of States in this field, the questions arise of its effectiveness and sufficiency and of whether the development of a specific standard adapted to the peculiarities of cyber relations is required. The present paper deals with assessing the advantages and disadvantages of maintaining and using a general international legal standard for due diligence in cyberspace and the corresponding advantages and disadvantages of the prospect of elaborating a lex specialis standard. The main idea is that in the absence of a specific due diligence standard in cyberspace, there is no legal vacuum regarding the responsibility of a State in relation to an act that cannot be attributed to it, since there is a general international legal principle of due diligence. Besides, this principle has several advantages over potential special regulations that may appear in the future. In case of drafting such specific rules, it is necessary to proceed with caution and to take into account the shortcomings of special legal regulation.