I see 3 main options:
a. You can actually use textures. You’d simple need to use a displace modifier and use UVs and the texture to transfer it to the mesh, then apply it and the actual mesh will have the geometry given by the texture
b. Use alphas on sculpting mode. Would be faster but you won’t have as much control
c. Use a rake-type brush to manually sculpt the woven style. May take more time but you’d have control on the style, length and size of the pattern