Hyde 0-3 Tamworth
Tamworth moved closer to safety thanks to victory against Hyde in just their second win on the road this season.
Richard Peniket tapped in Nick Chadwick's low cross to set the Lambs on their way.
Connor Hughes missed a golden chance to equalise, before Justin Richards doubled the lead when goalkeeper Chris Kettings misjudged a long ball.
Hughes was then twice denied by Cameron Belford, and Chadwick made it 3-0 when his shot bounced and evaded Kettings.
Dale Belford's men are just one point behind Chester in 20th, who lost at Forest Green and have played two more matches.