A flexographic printing precursor can be imaged and used for flexographic printing. This precursor has at least two laser-engraveable layers, in which the underlying non-printing laser-engraveable layer is more sensitive than the outermost non-metallic printing laser-engraveable layer. The non-printing layer-engraveable layer comprises (1) a first elastomer, (2) a polymer that is nitrocellulose, a polymer comprising a triazene group, a glycidyl azide polymer, or a poly(vinyl nitrate), and (3) a first near-infrared radiation absorber. The outermost non-metallic printing laser-engraveable layer comprises a second elastomer and a second infrared radiation absorber.