Premier League leaders Manchester City, who were knocked out by Wigan Athletic in the fifth round last season, entertain Rotherham United.
Huddersfield Town, Yorkshire's sole top flight representative, head to Bristol City, while Hull City and Leeds United are bound for the capital to tackle Millwall and QPR respectively.
Newcastle United have been drawn at home to Blackburn Rovers in the third round of the FA Cup.
An all-Yorkshire tie is also a possibility after the winners of next Tuesday's replay between Bradford City and Peterborough United were handed a trip to Middlesbrough.
Tottenham haven't won a trophy since lifting the League Cup in 2008 and haven't won the FA Cup since 1991 so Mauricio Pochettino will be desperate to try and go all the way this season.
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It shocked me the other day when Jeff Stelling said on Soccer Saturday that Burnley were the favourites for relegation. And I have no problem, how we all do, to make mistakes. "Very intense game and obviously a much nicer finish for us".
National League Wrexham will also host Premier League opposition in the shape of 2016 champions Leicester, if they can get past League Two Newport.
Traditionally one of the biggest moments of the football season, the draw for the FA Cup third round takes place on Monday evening.
Man City (23), and Man Utd (24) will be worth keeping an eye on, with Spurs ball number 39, and Everton 15.