The former England defender fears Liverpool may become a selling side.
The remarks come amid renewed speculation over the future of Philippe Coutinho. The Brazilian has recently been linked with a move to join up with Luis Suarez at Barcelona and it seems The Reds may have a battle hanging on to the talented playmaker in the summer.
But Keown believes Liverpool must be wary of becoming a selling club like his beloved Arsenal did a few years back. He wrote in his weekly Daily Mail segment:
"Liverpool have had to get used to losing their best players. They lost Luis Suarez and Raheem Sterling in the last two seasons, but (Jurgen) Klopp wont’ be worried about that because it means the team is doing well and you’re getting individuals to perform.
"Part of the role of the manager is helping players realise their potential. If players don’t perform, it’s not just their fault – it’s the manager and coaches’ responsibility as well.
"They obviously don’t want to keep haemorrhaging players like Arsenal did a few years ago when they lost Van Persie, Samir Nasri and Cesc Fabregas in quick succession, as that really set them back. But he won’t be worried about this Philippe Coutinho speculation at the moment."
To be fair he did not mention all the names. Gael Clichy, Kolo Toure and Emmanuel Adebayor were all lured by the riches and silverware at Manchester City - with Bacary Sagna potentially in that category as well.
Liverpool have lost some key men recently in Suarez, Sterling and of course Steven Gerrard and most ensure they keep on to their prized assets such as Coutinho, Daniel Sturridge and Martin Skrtel if they are to be successful under Klopp going forward.