"I am very much saddened by this news," Murphy told fans in a statement.
Speculation as to the future of Death Grips arose in February when supposedly leaked messages from producer Andy Morin cast doubt on their current status.
The singer hasn't performed on Australian shores since her artRAVE: The ARTPOP Ball tour.
"Maybe just stop and see who needs help if you can," the Mötley Crüe drummer wrote on social media.
"Yes we will be touring and will provide more details soon," the band confirmed in a statement.
