TBH it does vary from person to person, but I'd say a week is not long, you are probably looking at at least another, and you'll probably still get let-down tingles for months when you hear a baby crying etc!
I bf my DS1 for 15mths and by the time I got preg again he was 2 and a half and still got milk out when i squeezed, although i did not leak after my breasts lost their fullness - 2/3 weeks after stopping. My DS2 is 11wks tomorrow and I'm getting letdown now just thinking about it! lol x
I just v v gradually dropped the feeds down til DS1 was having one boob per night (bedtime) - therefore one short feed per side every 48 hours. He was 18 months when I stopped as we started trying for the next one! Never had any trouble with leaking or blockages/pain that way. Hoping to do it this way with DS2 eventually.