Do you happen to be from the western US or Canada? They tend to lower the /ɪ/ monophthong (i of tip, pit, sit, etc.) there, making it sound pretty close to /e/ (French é, German eh). It's one of those things that, combined with regionalisms and other accent features, give away where you grew up :) I noticed a lot of Londoners do this too, though this is just my experience.

Nope, Northeast. And my French teachers spoke with a Parisian accent.