The German is expected to reshape the Reds' squad to his own liking over time and only wants players that are motivated to help bring success to Merseyside.
He said: "If any player comes to me and says I don't feel comfortable and things like this, and I want to leave, our style of play blah blah blah, and more money, then you always have to start thinking.
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"If a player wants to go to a another club then I'd always be open because I don't want to have a player who doesn't want to be in the squad."
Loanees Lazar Markovic, Mario Balotelli, Andre Wisdom and Tiago Ilori are due to return at the end of the season and could be amongst such players to leave, whilst fringe players Joe Allen, Christian Benteke and Lucas Leiva may feel greener pastures lie away from Anfield.
Klopp's comments have merit, of course, given unsettled players can do no end of damage to a squad and should be sold rather than kept.
"Everything is okay in this moment but nobody in the world, maybe only (Lionel) Messi, is unsellable," the 48-year-old continued.
"There is always a situation. I come from a club (Borussia Dortmund) where always the best players are picked by other teams and at the end you have to accept a few things and you always need to have a Plan B or Plan C."
Liverpool know this better than most having dealt with transfer sagas involving Luis Suarez (2014) and Raheem Sterling (2015), both of whom desiring moves away.
The former Uruguayan was the subject of interest in 2013 and after a phenomenal season was sold to Barcelona, whilst the latter near enough forced his way out of the club amidst a yearning for silverware.
And it appears the same approach will be taken by Klopp, who is preparing for a long stay at Anfield in the knowing changes can only be made and implemented in the long term, rather than short.