A photograph of Facebook founder Mark Zuckerberg shows tape has been used to cover his MacBook Pro's webcam and mic.
Facebook has not responded to requests for comment about the picture, shared to celebrate Instagram reaching its 500 million monthly user milestone.
FBI director James Comey has previously said he also covers his laptop's webcam to prevent hackers spying on him.
And digital rights group the Electronic Frontier Foundation (EFF) said it regularly sold its webcam "stickers".
Documents leaked by former National Security Agency contractor Edward Snowden allege US and UK spy agencies intercepted webcam images from millions of Yahoo users around the world between 2008 and 2010.
And, in 2013, a BBC Radio 5 live investigation found sites where hackers exchanged pictures and videos of people captured without their knowledge. Hackers attack webcams via attachments containing malware.
If these are opened by a user, a hacker can gain remote control of the functions on their computer, including the webcam.
Security company Symantec warned users not to keep computers with webcams in their bedrooms and "not to do anything in front of one that they wouldn't want the world to see".