Battling Coventry fought back for a deserved point after Ian Rush, Liverpool's hat-trick hero at Blackburn in midweek, had given his side the best of starts with a goal in the second minute.
But Liverpool's Highfield Road bogey struck again. They last won on the ground in November 1990 and, once Sean Flynn had grabbed Coventry's second half equaliser, there were chances for both sides to score the winner.
Liverpool were shaky at the back in the opening moments of the game, but they had the best possible settler when Robbie Fowler fastened onto a clearance to send in his senior strike partner Rush.
The Welsh international coolly drew goalkeeper Steve Ogrizovic off his line before slotting in his 10th goal of the season.
Stig Bjornebye missed a great chance after 21 minutes to increase the lead. Coventry's defender Brian Borrows missed Steve Harkness' centre and the ball rebounded from Cobi Jones to Bjornebye but his close-range shot was brilliantly saved by the Coventry goalkeeper.
Coventry almost scored a fluke equaliser before half-time when Flynn charged at the Liverpool goalkeeper David James, whose fly-kick struck the Coventry man and cannoned back only inches from goal.
Coventry stepped up the pace in the second half and Liverpool's defence looked even more fragile.
After a succession of corner kicks, Paul Cook slung over a free-kick and Flynn burst out of the goal-mouth pack to bullet home a close-range header.
Robbie Fowler went agonisingly close with a header shortly after and then Flynn's persistence won him the ball on the by-line, but his low cross ran through the goalmouth without a player getting a touch.
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