The forward joined the Blues in last season’s January transfer window but has made just seven appearances since then.
He was banished to the Under 23s by Ronald Koeman in the summer, where he has made five appearances and scored seven goals so far.
It has been made clear that he has no future at Goodison Park, though, and has been on the hunt for a new club since the summer.
So far no move has materialised, at least not on a permanent basis, but it appears Hull City are willing to give him a short-term reprieve.
According to the Liverpool Echo, they have made a bid to take him on loan until the end of the season.
The Tigers are currently bottom of the table and new boss Marco Silva is keen to add to his squad as they aim to avoid the drop.
So far a deal has not been agreed but the newspaper reports that a small fee would be involved in the deal.