Klopp replaced Brendan Rodgers in October and the Premier League form of the side has been indifferent, but he has managed to lead the side to within a penalty shoot-out of the League Cup, and to the quarter-finals of the Europa League where they will face his old club Borussia Dortmund.
Morientes, who spent a season and a half at Anfield and has an FA Cup winners' medal to show for his efforts, has said he would like to see the side reach the summit of English football, and back competing at the top table in Europe.
He said: "Well I hope they reinforce for a good project next year. For me, the coach seems like a coach with very clear ideas. He knows how he wants to play. I think Liverpool is a project and the coach is getting used to the Premier League. Liverpool have put their faith in Klopp and I think he'll get the best out of the team.
"I've got a lot of affection for Liverpool and I'd really like to see them in the Champions League again, and winning the Premier League."
Certainly that is the aim of the fans in the coming seasons, and the summer transfer window could be a big one for Liverpool as we start to see a side more in the image of the Liverpool boss.
It has been confirmed that two players will arrive in the summer in the form of centre-back Joel Matip from Schalke, while Marko Grujic will link up with the squad after spending the second half of the season on loan at Red Star Belgrade, after a £5.1 million deal was struck in January for the young midfielder.
Given their current league position of ninth, it looks as though it could be a long time before Liverpool are winning the title, but one only needs to look at the season Leicester City are currently enjoying to see just how quickly things can turn around with some smart transfer dealings and decision making.