But despite the 26-year-old not being fancied by Rodgers, he feels he can impress the former Swansea boss.
A fifth draw in 10 Premier League matches at home to left Brendan Rodgers' side six points adrift of fourth place.
10 Newcastle 14
11 Swansea 12
12 Liverpool 11
13 Wigan 11
14 Norwich 10
Jose Enrique: "Of course it's not a good position to be in the table.
"We want to be in the top four and I know that is difficult at the moment as there are many teams above us.
"But if we had beaten Newcastle we would have only been four points behind the Champions League positions.
"It's not that far away. If we were to win three or four games in a row we would be up there.
"It was an amazing goal from Luis - the control and finish was 10 out of 10 - but it's no surprise as we know what he can do.
"Every game he does something like this and he's such a key player for us.
"Luis scored a lot of goals in Holland (for Ajax). He had a great record there and we know he will score a lot of goals for us.
"It's a dream to play with someone like him but we can't depend on one player.
"We need more players to score as we can't always look to Luis.
"With this manager the style of play is different than we played before.
"We are all getting used to it and every game we are playing better.
"It's great to play like this and it will get us results.
"I use a lot more energy going forward now - against Newcastle I played many times like a striker - as this is the type of football the manager wants from his full-backs.
"Defensively I have less work now than before, I am more of an offensive player
"We need more people in the box. When myself, Glen and Andre (Wisdom) are playing we try to go forward and if you do that you have more chances and more players to score goals.
"Against Newcastle I was able to get forward a lot, like I did when I was playing in Spain.
"I enjoy attacking more than defending. In games like this where we are in control I'm able to attack and try to get into the box."