The Labour MSP told BBC Radio Scotland's Good Morning Scotland: "It is extraordinarily sad when someone dies, but it is absolutely tragic when two people, such young vulnerable women, take their own lives.
"They happened to be in the same supported accommodation, I understand they were friends with each other and they took their own lives within weeks of each other.
"I'm genuinely concerned about the circumstances that led up to this, I hope that both the council and the police will have a very full and thorough investigation, but I think we may need to be in the territory of a public inquiry, so we can understand the circumstances that led up to their deaths.
"It is extraordinary for two such young women to take their own lives within such a short space of time that happened to live in the same supported accommodation.
"That rings alarm bells for me, as it would do for my community, and I think we need to get some answers as to why this happened."