Spaniard has enjoyed a more successful second year at Anfield.
The full back has been at Anfield for almost two years now since signing from Newcastle United for just £7m and has played against Everton on four occasions in the intervening period.
Liverpool beat their city rivals both home and away in the Premier League under previous boss Kenny Dalglish last season, while they also got one over on the Toffees when they clashed at Wembley Stadium in the FA Cup semi-final.
And Enrique remained unbeaten in contests against Everton when Liverpool came away from Goodison Park with a 2-2 draw in the top flight earlier in the campaign.
However, the 27-year-old left back has raised the stakes ahead of Sunday’s match by saying that in all his time on Merseyside, he has come across just two Everton supporters.
“I have two top derby memories,” Enrique is quoted as saying by the Daily Mail.
“One was when we beat Everton in the semi-final last season – not because we played an incredible game but just because we beat them.
“The best one I had was against Sunderland when we beat them 5-0 on Halloween and then I had a night out with Coloccini and Jonas and it was incredible.
“But for the importance of a derby it was Everton in the semi-final.
“The best thing for a player is the derby atmosphere. In the stadium it is incredible, it is like you are playing Barcelona.
“I think I know two Everton fans.“One taxi driver I remember told me he supported them and we started talking about football.
“The other I met in town and he asked to have a picture with me but no-one has ever said anything bad to me.”