Frank Lampard dropped the Spaniard from his side to face Leicester last weekend following a number of underwhelming performances.
While Kepa has not been guilty of many high-profile errors, he is also not producing the sort of magic moments befitting the globe's most expensive goalkeeper.
The stats show that his save success rate has dropped from 68 to 56 per cent between the last and current campaigns - yet he is determined to fight his way back into contention and feels hard done by.
Over the coming months, Chelsea must decide whether to back the 25-year-old or bring in a replacement.
According to Goal, goalkeeping coach Christophe Lollichon and performance advisor Petr Cech will assist Lampard in settling Kepa's future.
The same report asserts that the scouting department are already putting together a shortlist if a change is desired.
Barcelona academy product Onana, 23, is said to be an option to replace him.
The Cameroonian is reportedly keen to leave in the summer, at which point he will have two years left on his contract.
An offer some way short of the £71.6million handed over to sign Kepa in August 2018 is expected to be enough to tempt Ajax into a sale.
Having reached last season's Champions League semi-finals, the Dutch team are already out of this year's competition and will lose out on its riches.
In addition, a number of stars who stuck around while Frenkie de Jong and Matthijs de Ligt left last summer may feel their time to move is coming.
As such, Tottenham and old club Barcelona have also been named as potential destinations for Onana.