From the website that sells it, it is not associated with Tennessee (and the "T" is wrong, even for 1983) ... so it is nothing official from the University. It is most likely just some modern drawing that is in a throw-back style.
Their disclaimer: Vintage Brand® and its products are not affiliated with, licensed, sponsored, or endorsed by any college, university, professional team, league, event, or licensing entity. All designs are derived from actual historic works of art existing in the public domain.
It looks like they are just grabbing art off Google images, stylizing it for Tennessee fans, and then marketing products with it.