I have a Specialized branded hub which was running a 9 speed cassette. There are no markings on it other than a S . Should think it's made by a outside supplier.
But you might not need a new freehub.Take the cassette off, if there's a 1.85mm spacer behind the cassette, it's an 11-speed freehub body and you can fit an 11-speed road cassette. Can't remember if mine had the spacer or not.
No spacer and you'll need a new freehub body but where you'd find one to fit I don't know, so you'll be looking at a new hub.
Edit: Measured my Specialized body and it's 37mm so if yours is the same you're good to go.