A fabric having a novel warp lift-off-resistant construction is made on a stitch-through type machine equipped with a single knitting thread guide bar and comprises a flexible substrate such as a layer of textile yarn filling elements, a plurality of warp elements laid on the substrate in the longitudinal or warpwise direction, and knitting thread forming a multiplicity of warpwise stitches in a warp lift-off-resistant configuration. The knitting thread warp lift-off-resistant configuration comprises, in one embodiment, a combination of at least one half-tricot stitch course and one or more consecutive chain stitch courses on a given knitting thread wale to bind together into an integrated structure the substrate and warp elements, to secure the substrate and warp elements against relative displacement, and to stabilize the fabric against running or lifting off of the warp elements from the fabric surface. As a result of the knitting thread warp lift-off-resistant configuration, the fabric exhibits an aesthetically pleasing appearance corresponding to the loft imparted to the warp elements by virtue of the non-binding of the warpe lements by the chain stitch components of the knitting thread network.