This article analyses the existence of a “duty of curiosity” on the parties in investigating facts calling into question the independence and impartiality of arbitrators. In cases related to sports arbitration, the Swiss Federal Tribunal has taken a consistent position that while under the provisions of Article 179(6) of the Swiss Private International Law Act, an arbitrator has an obligation to disclose “any circumstances that may give rise to justifiable doubts as to his or her independence or impartiality,” parties may not exclusively rely on this and, therefore, must diligently enquire beyond what is revealed by the arbitrator. However, the continuously expanding universe of information, including on social media networks and behind paywalls or on password protected websites, has raised concerns as to the precise scope of a party’s duty of curiosity. While the Swiss Federal Tribunal has expressed the view that specifying the precise extent of the duty of curiosity is not needed given the specific circumstances of each case, such duty is, nonetheless, not unlimited.