A Tellarite canine was an animal on Tellar Prime considered to be a delicacy among Tellarites.
In 2154, shortly before Gral and his Tellarite delegation came aboard Enterprise NX-01 for transport to Babel, Ensign Hoshi Sato advised Captain Jonathan Archer to keep his pet beagle Porthos away from the Tellarites as they consumed their canines. (ENT: "Babel One")