Chad Johnson -- TATTOOS Evelyn Lozada's Face on His Leg

Chad Johnson 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.

As we previously reported, Evelyn filed for divorce last month ... three days after Chad allegedly headbutted her during a heated argument.

Chad was arrested for domestic violence over the incident -- but officials are still deciding whether or not charges will be filed against him.

A rep for Chad had no comment on the story.