Speaking during his duty with the Republic of Ireland, Kelleher was asked about his future having established himself as backup to Alisson at Liverpool.
“I’m not sure on what’s happening yet,” the goalkeeper told reporters on Monday, as reported by BBC Sport.
“I’m still finishing this season and then we will have conversations after that to see what happens.
“I’m not sure yet – obviously I need to play these few games and see what happens with these and maybe decide after that.”
Kelleher is expected to start his third consecutive game of the month on Saturday evening, as Ireland host Scotland in the UEFA Nations League, benefiting from an injury to Man City goalkeeper Gavin Bazunu.
Bazunu has often been preferred as No. 1 by manager Stephen Kenny, with a consistency of minutes throughout the campaign – albeit on loan with League One side Portsmouth – giving the 20-year-old an advantage.
This could put Bazunu in an even better position when it comes to the starting spot for his country, putting further pressure on Kelleher at Liverpool.
“Maybe there’s a time where he has to go on loan. I’m not sure if that will be next year or maybe a year later,” the manager said.
“Marcelo [Pitaluga] is already on a good way, really we have to judge that situation, Adrian is still here and doing an incredible job.
“We will see, but you need the quality we have here, and if we get weaker if he wants to go somewhere, then we don’t have the chance to do that.
“If we can keep the quality, then we could talk, but that’s difficult.”
Ahead of those “conversations” between Kelleher and Liverpool, then, much for the latter may rest on whether Klopp and goalkeeping coach John Achterberg feel 19-year-old Brazilian stopper Marcelo Pitaluga is ready to step up.
That seems unlikely at this stage, as does a campaign with Adrian back as No. 2, which presents the option of potentially selling Kelleher and bringing in another goalkeeper this summer.
It is all hypothetical for now, but Bazunu’s imminent move to St Mary’s will only heighten the unease over Kelleher’s standing for club and country.