Boy..you must think I'm nuts
! I thought you had a leak in the hose itself...not sure where I lost you, but I lost you!
If I understand you right, then the solonoid valve
(see picture) where you attach the hose to refridgerator is leaking huh...? If the solonoid valve itself is leaking
then the valve will need to be replaced...need model number and serial number to get correct part.
If the compression fitting to the valve is leaking I say you cut the hose if possible and start over with new insert, compression sleeve and compression nut. I think the trick here is not to overtighten the compression nut.
Otherwise I may need you to post a pic. So I can see what's happening.
Let me know more now that I think I'm on the same page with you.