A “covenant in gross” is a covenant/promise that is limited to a specific owner only and it does not run with the land. In other words, a covenant in gross does not bind successor owners of the land.
“[A covenant] which is not created to benefit or … does not benefit the possessor of any tract of land in his use of it as such possessor…. [A covenant] in gross belongs to the owner of it independently of his ownership or possession of any specific land. Therefore, in contrast to [a covenant] appurtenant, its ownership may be described as being personal to the owner of it.” Hartford National Bank & Trust Co. v. Redevelopment Agency, 164 Conn. 337 (1973).