Kelleher (22) starred for the Anfield side in their midweek Champions League win over Ajax and with No 1 Alisson still not fully recovered from his hamstring injury, Klopp is almost certain to turn to the Ireland international for the league game at home to Wolves.
"He is a hard worker and there's no doubt that he will deal with all the fuss around him really well," said Klopp of Kelleher.
“It was a big call to throw him into that game but thank God, it worked out. That's unfortunately not always the case, that doesn't make the players worse, it is just the wrong timing of the manager.
"Caoimhin is a sensationally talented goalie. And for goalies it's really difficult, goalies have to wait. They can be exceptional but they have to wait for their chance because there's only one keeper on the pitch and if this keeper plays for 10 years in a row, it's pretty difficult. You can be still a wonderful goalie and nobody will see.
"Now he got the chance and I think he convinced everybody. He didn't have to convince us, obviously – we thought it will be like this. But he convinced everybody, that's good.
"But Adrian doesn't deserve just to be written off now, there's no reason for that. He supported Caoimhin in an exceptional way. After he got the information that he would not start, he behaved unbelievably. Really, really a lot of respect for that. He expected it actually, but anyway a lot of respect for it.
"And Caoimhin did well. So, there are not a lot of reasons I could mention in this moment to say he will not start against Wolves, but there is training in between and other things, he has to stay fit, we have sessions. All this kind of stuff.
"But he has done enough to convince me, but he did that already months and years ago. Sometimes you have wait for the right moment and we thought the right moment came on Tuesday."