desperately wants to let Evelyn Lozada know he still cares about her ... so he went out and got an image of her FACE tattooed on his right leg with the name "Eve" underneath it.
Johnson posted the photo on his Twitter page today ... the image is his new profile pic featured at the top of his page. It's unclear if the tat is real ... or of the temporary variety. Sources tell us Chad got the work done this past weekend.
Either way, Chad may not be getting his money's worth from the ink -- sources close to Evelyn say she still feels strongly about divorcing Johnson ... and she's made it clear to friends she will NOT be getting back together with the former NFL star.