On June 18, the Rhode Island House defeated the National Popular Vote bill, HB5569, by a vote of 28-45. The awareness that the Governor was likely to veto it anyway probably dampened support for the bill. Last year the legislature had passed the same bill, but Governor Donald Carcieri, a Republican, had vetoed it.
The National Popular Vote Plan bill in the Senate, SB161 (an identical bill), had passed the Senate on May 19. Theoretically the House could still pass SB 161, but that is unlikely.