diff --git a/target/i386/kvm/kvm.c b/target/i386/kvm/kvm.c
index 6f6301460d..77e8816570 100644
--- a/target/i386/kvm/kvm.c
+++ b/target/i386/kvm/kvm.c
@@ -1838,10 +1838,12 @@ static uint32_t kvm_x86_build_cpuid(CPUX86State *env,
             int times;
 
             c->function = i;
-            c->flags = KVM_CPUID_FLAG_STATEFUL_FUNC |
-                       KVM_CPUID_FLAG_STATE_READ_NEXT;
             cpu_x86_cpuid(env, i, 0, &c->eax, &c->ebx, &c->ecx, &c->edx);
             times = c->eax & 0xff;
+            if (times > 1) {
+                c->flags = KVM_CPUID_FLAG_STATEFUL_FUNC |
+                           KVM_CPUID_FLAG_STATE_READ_NEXT;
+            }
 
             for (j = 1; j < times; ++j) {
                 if (cpuid_i == KVM_MAX_CPUID_ENTRIES) {