diff --git a/target/alpha/machine.c b/target/alpha/machine.c
index 2b7c8148ff..f09834f635 100644
--- a/target/alpha/machine.c
+++ b/target/alpha/machine.c
@@ -24,7 +24,7 @@ static const VMStateInfo vmstate_fpcr = {
     .put = put_fpcr,
 };
 
-static VMStateField vmstate_env_fields[] = {
+static const VMStateField vmstate_env_fields[] = {
     VMSTATE_UINTTL_ARRAY(ir, CPUAlphaState, 31),
     VMSTATE_UINTTL_ARRAY(fir, CPUAlphaState, 31),
     /* Save the architecture value of the fpcr, not the internally
@@ -73,7 +73,7 @@ static const VMStateDescription vmstate_env = {
     .fields = vmstate_env_fields,
 };
 
-static VMStateField vmstate_cpu_fields[] = {
+static const VMStateField vmstate_cpu_fields[] = {
     VMSTATE_CPU(),
     VMSTATE_STRUCT(env, AlphaCPU, 1, vmstate_env, CPUAlphaState),
     VMSTATE_END_OF_LIST()