Bees find themselves sitting in the last-chance saloon following this narrow defeat at fourth-placed Caldy.
With two matches remaining, it means Bees must beat fellow strugglers Hull at Portway on Saturday to stand any chance of avoiding the drop.
But whatever happens against Hull, Bees’ director of rugby Eugene Martin will step down at the end of the season.
He said: “It felt like the right time to go and give somebody else a chance.
“I have commitments with Warwick School and it’s finding the ability to do both jobs.
“As a result, it’s not really fair on the club. To some extent, my job as a coach is almost done. Yes, I will analyse the remaining games, but it’s really down to the players now.
“They have to prove they want to stay in this division.”
Bees began their game on the Wirrall in promising fashion but fell behind on 19 minutes when Caldy hooker Neil Dowdridge was driven over from a maul following a line-out.
In what proved a scrappy contest at times, Bees finally hit back after the break, centre Rob Connelly carving his way through to score with fly-half Adam Canning converting to put his side 7-5 in front.
Caldy recovered and replacement right-wing Harrison Crowe made Bees pay by capitalising on some poor tackling to cross twice, while centre Gavin Roberts converted once.
At 19-7 down, Bees were left trying to repair the damage and clawed the score back to 19-14 when full-back Ian Briggs broke through several tackles to score, with Canning converting.
Try as they might, Bees could make no further impression against a dogged Caldy defence, leaving them with just one bonus point to show for their efforts, when they really needed more.