Lyric discussion by Murasakivie 

Cover art for Sorry or Please lyrics by Kings of Convenience

I think he's singing to a girl who's visiting, saying even though he's busy (his "prison", his job perhaps?) he still agrees to spare a week to spend with her.

He knew her before but didn't care to notice her. Now that he does he realizes more and more how much he likes her. Despite her actions, he isn't sure if she really likes him or if she's trying to say she's sorry for not being able to stay with him.