According to the jungle drums, Kev's political life is once again hanging by a thread, and he is having to try to buy potential assassins off with promises of jobs.
His problem is that he has very little room for manoeuvre in a council where he has to balance the demands of the closet Tory Independents, the divided factions in his own Labour group and an overmighty chief executive.
The outcome of the last elections did not help, with Labour in Llanelli doing well, while the national tide running in favour of Labour bypassed Kev's home patch in Ammanford.
Even Kev's political opponents agree that he is fundamentally a nice man, while his friends acknowledge that he was never one of the brightest bulbs in the room. His public speaking skills make George Dubya Bush look like David Lloyd George.
Churchill may have said that all he had to offer was blood, sweat and tears, but he held out hope of victory and better things to come. Kev's message to the troops this week was that all he has to offer is boiled cabbage. On ration, indefinitely.
Things would not be so bad if he could call upon a talented and vaguely inspiring cabinet, but his deputies Tegwen Devichand and Pam Palmer, are very well suited to dolloping out cabbage in the Canteen of No Hope. The one exception is Colin Evans, but it is hard to see the Llanelli caucus opting for yet another leader from Ammanford.
There may not be much charisma around in the Llanelli Labour caucus either, but there are some thwarted egos. How much longer will they put up with the unremitting diet of boiled brassicas served up by Chef Kev and his grim team?