The Sky Blues were unable to replicate their famous 1987 Cup final victory over Spurs, as the difference between the heights of the Premier League and League One proved stark.
All the goals came in the first half - Clint Dempsey opened the scoring on 14 when a Gylfi Sigurdsson free-kick was flicked on by Gareth Bale, and the American on hand to rifle a shot from inside the six-yard box high into the roof of the net.
Bale doubled the lead on 33 after a Dempsey shot deflected off Richard Wood and into the Welshman's path and he volleyed in his 11th goal of the season, and that was closely followed by Dempsey's second of the game.
The American headed home a Bale corner on 37 to wrap up the game before half-time.
The second half commenced in the same manner as the first ended - Emmanuel Adebayor made a run and looked on track to put his side 4-0 up, but was muscled off the ball by William Edjenguele.
A missed opportunity from a Steven Caulker header was quickly followed up by a superb Bale free-kick that flew just wide.
Mark Robins' men were unable to convert their sporadic chances; good approach play saw Adam Barton in space but his shot was blocked by Caulker, and from a set-piece Edjenguele's header was pushed out by Brad Friedel.
With just over 20 minutes to go Spurs boss Andre Villas-Boas replaced Bale with Andros Townsend and the hosts' total dominance of the game ended - to the relief of the 5,000 travelling fans.
Coventry almost grabbed a late consolation but Leon Clarke failed to control a Carl Barker cross, and referee Michael Naylor then waved away Spurs' shouts for handball against Edjenguele.
Dempsey looked set to bag a hat-trick in the final moments but was prevented by Wood's block.