.fbx file doesn't have texture in unity

[Okidoki]

Maybe also have a look here:

FBX and OBJ are not Exporting with Textures

Welcome … …since Wavefront Object format only has a material file ( .mtl ) where it refers to the textures… you might have to export to the folder where you textures are and for transfering have to pack all this in to one archive file… …also since FBX is proprietary… it doesn’t support everuthing… see also docs.blender manual addons import_export scene_fbx…