Family sources tell TMZ, X's fiancée, Desiree Lindstrom, and mom, Arnett Simmons, have been allowed into the ICU to visit DMX, though he is not responsive. As we reported, family sources tell us some of his kids are coming to visit as well and are hopeful they will be allowed in.

TMZ first reported the OD and the fact he has limited brain function ... the result of oxygen deprivation after his OD late Friday night. One source with direct knowledge told TMZ the prognosis does not look good.

Nevertheless, the rapper's family is not giving up. DMX suffered a heart attack during the OD, and family members are holding out hope when the inflammation subsides his heart will restore itself. Of course, that does not have an impact on brain function.