Jovanovic joined the Reds on a free transfer from Standard Liege in the summer, but has failed to become a regular at Anfield.
“I am starting to find the time dragging on,” Jovanovic is quoted as saying by The Sun.
“I’m a fighter but if things do not sort themselves out I will change club – even though it is too soon to think about it yet.
“I’m on form, I’m working hard and I have started eight competitive games.
“But I’ve not been in the starting XI for the last few matches – and I’ve not even come on as a sub.”
He continued: “I have to adapt to a new system over here. I have to defend all the time.
“Just three or four teams in the Premier league play attractive football. The others set great store by commitment, discipline and defending.
“I miss Standard and the city of Liege.”