It will be Tottenham's second match of 2019 after visiting Cardiff City on New Years Eve in the Premier League.
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.
Zola, who was part of Gullit's team which beat Middlesbrough to win the competition in '97, was in attendance as the draw was made, and the Italian provided his reaction to the Blues being paired with Forest.
Shrewsbury, who have appointed Sam Ricketts as boss, have seen off Salford City and Scunthorpe United to reach the third round stage for the fifth time in 23 attempts.
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Non-league fans rejoice! There will be at least two teams in the third round in the form of Woking and Barnet while Southport, Wrexham and Solihull Moors have all forced second round replays against league opposition and so will be in the hat too.
National League North Southport too have an enticing prospect in line if they can get past League Two Tranmere with Tottenham drawn to face the winners.
Man City (23), and Man Utd (24) will be worth keeping an eye on, with Spurs ball number 39, and Everton 15.