A Sunday Times report said that Iconiq Capital was preparing a £1bn offer for the north Londoners.
Tottenham are currently owned by Joe Lewis, a British businessman who is the main investor in Tavistock Group.
Iconiq Capital manages funds on behalf of various Silicon Valley companies, including Facebook owner Zuckerberg.
The move to takeover Spurs would not be the first American foray into top flight English football.
The Glazer family started buying into Manchester United in 2003, and Spurs' fierce local rivals Arsenal are now controlled by Stan Kroenke, a real estate and sports mogul.
John William Henry, the principle owner of the Boston Globe, bought Liverpool football club in 2010 through his group, New England Sports Ventures.