However, Suarez broke the deadlock moments later. Jordan Henderson burst into the box before offloading the ball to his teammate, who poked it past Lloris from close range.
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The Liverpool captain was then thwarted by Lloris as he sneaked in behind the Spurs defence, before Coutinho continued the away side's dominance with a volley that hit the bar.
Nacer Chadli headed over for Spurs as they began to come back into the match, but again Suarez got in behind after Lloris misjudged a long clearance. However, the French goalkeeper was able to recover just in time.
Lewis Holtby shot wide from about 15 yards and the Reds made Spurs pay as they raced up the other end and Suarez found Henderson, who saw his initial shot saved before slotting in the rebound.
Spurs had a goal disallowed for a foul on Simon Mignolet just before the half-time whistle.