After the Reds squander more points at Anfield, the former Newcastle United full-back admits they need to start converting their chances if they want to secure a top-four finish
Kenny Dalglish's side are striving to secure a top-four finish, but the regular dropping of home points has so far undermined their challenge this season.
Enrique told the club's official website: "We lost two points again and we have to improve our home form, because we have lost too many points at Anfield this season.
"It has been a similar story all season at home and it is frustrating, as we are creating chances but not taking them.
"I don't think Stoke deserved a point because we had all of the ball, especially in the second half, and we created two or three really good chances but we just couldn't score."
Having beaten Manchester City in midweek in the first leg of their League Cup semi-final, the stage was set for the Reds to put pressure on the teams above them in the Premier League, yet Stoke proved typically obdurate opponents.
"We just have to stay positive. I think, maybe the Swansea game aside, we have deserved to win the other games we have drawn at home," Enrique added.
"The most important thing is the three points. If we start to take our chances then we can be in the top-four, but if we don't then we will make it more difficult for ourselves."
Next Saturday Liverpool are are away at struggling Bolton Wanderers, where they will be seeking their first league win of 2012.
Enrique continued: "I think it's good we have a break now so we can prepare for Bolton.
"Away from home at the moment we are getting better results than at home, so hopefully we can get the three points next Saturday."