R.I. Gen. Laws § 28-41-10: Benefits payable for last week of benefit year.

Notwithstanding any provision of chapters 39 — 41 of this title to the contrary, if the benefit year of an individual terminates prior to the end of a week throughout which he or she is unemployed due to sickness and eligible and his or her benefit credits for that benefit year have not been exhausted, then that individual shall be entitled to receive for that week the full amount of benefits that he or she would have received if his or her benefit year had not so terminated; provided, that this shall in no manner affect the establishment of a new base period and benefit year in accordance with § 28-39-2(2) and (6).