Nuveen Connecticut Quality Municipal Income Fund, formerly Nuveen Connecticut Premium Income Municipal Fund, is a diversified closed-end management investment company. It seeks to provide current income exempt from both regular federal and designated state income taxes by investing in a portfolio of municipal obligations issued by state and local government authorities within a single state or certain the United States territories. It seeks to provide attractive monthly tax-free income, portfolio diversification and attractive after tax total returns. It invests in municipal securities that are exempt from federal and Connecticut state income taxes. It invests over 80% of its managed assets in securities rated, at the time of investment, investment grade or, if they are unrated, are judged by the manager to be of comparable quality. It may invest over 20% of its managed assets in municipal securities rated below investment quality. Its investment advisor is Nuveen Fund Advisors, LLC.