speculative damages

Definition from Nolo’s Plain-English Law Dictionary

Possible financial loss or expenses claimed by a plaintiff that are contingent upon a future occurrence, purely conjectural, or highly improbable. These damages should not be awarded. For example, a plaintiff may claim that in ten years, as he ages, he may begin to feel pain from a healed fracture caused by a defendant (even though no doctor has testified this is likely to happen), and should therefore recover money from the defendant now.

Definition provided by Nolo’s Plain-English Law Dictionary.