The Oxford English Dictionary accepts both pronunciations. They are wrong. It is a soft ‘G,’ pronounced ‘jif.’ End of story.
Rich Sommer [who plays his agency colleague Harry Crane] sent me this thing, this little blurb — I’m sure there’s a term for it, and I’m just not familiar with — but it’s a little online snippet where it’s the dancing clip, sped up. And it says at the bottom, “It’s my job,” in big bold letters. It was really funny.