HomeNews MediaMcConnell, Dismissing Health Concerns, Says He Will Finish His Senate Term New York Times News Media McConnell, Dismissing Health Concerns, Says He Will Finish His Senate Term Antzila.com September 6, 2023September 7, 2023 The Kentucky Republican said he would finish his term as leader, which runs through 2024, and in the Senate, where he was elected to serve through 2026. ⦿Source