Klopp is now contracted until the summer of 2022 after signing a new six-year contract in July 2016.
Klopp has been previously linked with Bayern Munich and the Bavarians remain keen on bringing him to the Allianz Arena one day.
Honigstein told Abendzeitung Muenchen(as reported): "Klopp is very happy with Liverpool, and the club is very happy with him", he explained. "It was something new and something to get my head around, so it was tough to me".
"Bayern and Man City were always financially ahead of Klopp's teams, and it is an honour for him that he comes on equal terms only with a lot of effort", he added.
"He is flexible and ambitious enough to think about this opportunity, if there is another opportunity".
"Liverpool does not have City's nearly limitless means, but Klopp can still be master".
The 25-year old has proved that he's more than just a shield for the defense by showing that he's not only strong in the tackle, but that he's got a range of passing that's crucial for the high octane brand of football employed by Liverpool boss Jurgen Klopp - skills that the German manager may not have seen right off the hop.
"Everything is good at the moment, but still, "Klopp didn't win anything".
"I don't know if I can help a lot".
"We'll go over there (to Paris) and give it everything because it is far from over and then next season kick on especially in the league because I think, come then, we'll be ready to challenge".
"It's a good time, and 2022 is a long time so I don't have to think about it hopefully, everything will be fine and then we can think about that".
Owen scored 158 goals in 297 games for Liverpool between 1997 and 2004 so he knows a thing or two about strikers and he thinks the Reds might either have to go for an experienced player who is happy to play as a squad player, or for a young hotshot who can learn from the likes of Roberto Firmino, Sadio Mane and Mohamed Salah.