There are also tap alteration kits that can be installed by drilling out the old cork holder and put a different rubber section in.

I have the same tap and went an oring shop and got 4 fat orings, cut the cork off installed the orings jammed it back together and it's been 8 weeks no leaks.

I don't expect to last forever, but it's a cheep quick fix. The cork I can't imagine will last very long and would be a pain to install

Mick