The Reds had been linked with a multitude of goalkeepers this season prior to the showpiece occasion in Kiev.
But after Karius' double catastrophe handed Real Madrid a 3-1 win, the transfer rumour mill has gone into overdrive.
The former Mainz gloveman presented Karim Benzema with the opening goal by rolling the ball into his outstretched leg.
While Liverpool were desperately seeking an equaliser at 2-1 down, he let Gareth Bale's speculative effort slip through his grasp and into the goal.
Former the Reds, Portsmouth and West Ham stopper, himself known as Calamity James on account of his blunders, has backed the German to come good.