Commenting on his relationship with them, Klopp said: "Absolutely, the relationship with the owners is strong".
Klavan is too ponderous to be a serious contender while Gomez is still too raw which leaves Matip and Lovren to fight it out for one spot.
Fekir, who was a member of the French World Cup winning squad, enjoyed a stand-out season for Lyon last term as he scored 23 goals as well as being named the club's captain. The France worldwide was heavily tipped to join Liverpool prior to the World Cup but the deal was scuppered after the Reds tried to re-negotiate his £53m asking price citing his injury record.
Despite spending over £180m on four new players this summer, Jurgen Klopp suggested over the weekend that further signings may be possible at Liverpool.
Goalkeeper Alisson made his first appearance for the Reds following his £65 million move from Roma last month, playing the entire game at the Aviva Stadium. "He probably won't play Tuesday and Sunday will be very hard as well", continued the German, who is known to stick to a very rigorous training strategy.
Liverpool play their final pre-season encounter on Tuesday evening against Torino.
With Liverpool gearing up for a title challenge this season having spent big this summer, there is are some other sports that are catching Jugen Klopp's attention, mainly Irish ones it seems.