The 26-year-old was handed the armband for the second time in his Reds career as Steven Gerrard was missing through injury.
He was on the scoresheet twice, and superbly helping to create the other three goals, which were claimed by Jordan Henderson, Jon Flanagan and Raheem Sterling.
There was just one change to the starting line-up, with Lucas Leiva returning to the team in the place of Gerrard.
The Reds were presented with a chance in the first minute, as the brilliant Suarez played in Philippe Coutinho, but the midfielder wasn't expecting the ball, and snatched at his shot.
The trend continued in the opening stanza, with Liverpool asking Spurs all kinds of questions in and around their box. Sterling was the creator-in-chief, bursting forward and getting the better of Kyle Naughton.
On 16 minutes, he skipped down the right channel and put pressure on Hugo Lloris' near post. In the next move, the winger got behind Spurs' defence again, but the French 'keeper averted the danger.
Suarez had seen an earlier effort go marginally wide, but there was no such repeat when Henderson slipped him in on 18 minutes.
Full report: Official Liverpool FC
