I have the same problem with my Everpure.
It seems to have a very slow drip and I've been looking for a 'washer repair kit' for it.
I did get a new filter for it at Camping World - on sale- last year, but no kit.
I have an O-Ring kit and I may try to take it apart and try to replace what I can.
Let me know if you come up with anything.
2001 Winnebago Adventurer 32V, Ford F-53, V-10
2008 Jeep Grand Cherokee Limited, 4.7L V-8 QTII
U. S. Army Vet, In God We Trust