I've always liked it, in a GP way*. There are a few Victorian Jessies in my extended family tree, and they're all just
Jessie - not
Jessica, which wasn't really used then. I don't like
Jessica much either. I've never met a
Jessie, but given the popularity of -ie names atm, it wouldn't be out of place.
*It is sort of a slang term for a wuss in parts of the
UK ("ooh, you big jessie"). Not a problem for you though!