The Belgium international seemed destined for the exit following the £65million arrival of Brazilian Alisson this summer for what was, at the time, a world record fee for a goalkeeper.
However, Loris Karius - to whom Mignolet lost his place last season - was the one to depart earlier this week on a two-year loan to Besiktas, with the Turkish club undertaking a option to buy for a further £7.25m should he meet certain appearance and European qualification criteria.
It left Mignolet facing another campaign as second choice and prompted him to give an interview in his homeland in which he said he still wanted to play and did not know what the future held for him.
Klopp was not happy the goalkeeper went public but understood his frustrations.
He said: 'In general discussing your individual problems in public does not make too much sense, it is better to speak to each other, I'm a big believer in that. But it was still OK.
'We are all human beings and I have no problem with that, and if he was happy to be a number two then I wouldn't really know him.
'He is a top professional, a top goalkeeper and of course he is not happy to be number two but at the end there are worse things in the world than being number two - pretty good pay by the way at Liverpool.
'In the first moment you understand decisions or not but it is always better to talk to me directly about it than to newspapers.
'It makes not too much sense, if you want to say something to me say it directly - that helps.'