The 19-year-old forward was forced to be withdrawn after suffering from a suspected twisted knee with the Canaries leading the League One club 1-0, a result that held until full-time.
Kane, who has made just one appearance for Spurs, spent the majority of last season on loan at Millwall where he scored eight times in 23 appearances.
|KANE AND ABLE?|
|14/1||Norwich City are 14/1 with William Hill to beat Liverpool 2-1|
Norwich's victory sealed progression to the fourth round of the competition, when they will host Kane's parent club, Spurs.