The defender has improved since Jurgen Klopp replaced Brendan Rodgers.
Former manager Brendan Rodgers secured the Croatian in a big-money move from Southampton last summer after a number of impressive performances for the Saints.
He has not enjoyed his time at Anfield so far, though, with him coming in for heavy criticism on the back of some shaky displays last season.
This year started the same, but things have improved since Jurgen Klopp took over, and he says he is now feeling happy with his game again.
"It wasn't perfect and expectation was big on my shoulders. I'm extremely proud that I'm here. I want to improve every day,” he told liverpoolfc.com.
"In every training session and every game I am striving to show that I want to stay here as long as possible.”
“You need to have some time with your team to settle down and then it will go in the right way. I think I'm on the right path now."
If Lovren feels he is now on the right path at Anfield, he has the time to prove his worth to his new manager.
Mamadou Sakho had been preferred as Martin Skrtel’s defensive partner by Klopp, but with the Frenchman now out injured, Lovren has had to be called upon.
With few options to replace him as well, that means he has a good chance of getting a long run in the team under his belt and proving his worth to the club on a long-term basis.