Bath kept their hopes of domestic glory alive with a decisive second-half comeback as they inflicted on Newcastle a first league defeat since November.
Title-challengers Leicester and Harlequins have both seen unbeaten away runs erased at Kingston Park recently but, with their season on the brink of collapsed, Bath rallied to regain their place in the top four.
Mickey Young had created one and scored the other as the Falcons established a commanding 14-0 lead at half-time.
But with their play-off ambitions wavering, Bath fought back after the break with tries from Michael Claassens and Shontayne Hape.
And, after a torrid day in front of goal for Bath's kickers, Ryan Davis converted a penalty to edge out the Falcons 15-14.
England flanker James Haskell insists he will be pushing as hard as possible to be back from a toe injury in time to make his case for a spot in Eddie Jones' side looking to defend their RBS 6 Nations title next year.