Kane has struck braces in each of his last four appearances against the Toffees in the competition.
Owen is the only other player to score two or more goals in as many matches in a row against the same team. The former England striker did so for Liverpool against Newcastle United between 1998 and 2001.
But while Owen's impressive run included two hat-tricks for 10 goals in total, he failed where Kane is hoping to succeed.
Owen blanked in his fifth appearance versus the Magpies, 17 years ago.
After missing the 2-2 draw with Everton on the final day of last season through injury Kane travels to Goodison Park this weekend fit and with a shot at a Premier League first.
|Match||Date||Owen goals||Match||Date||Kane goals|
|NEW 1-4 LIV||30/08/98||3||TOT 3-2 EVE||05/03/17||2|
|LIV 4-2 NEW||28/12/98||2||EVE 0-3 TOT||09/09/17||2|
|NEW 2-2 LIV||26/12/99||2||TOT 4-0 EVE||13/01/18||2|
|LIV 3-0 NEW||05/05/01||3||EVE 2-6 TOT||26/12/18||2|
|LIV 3-0 NEW||06/03/02||0||EVE v TOT||03/11/19||?|