diff --git a/hw/intc/arm_gic.c b/hw/intc/arm_gic.c
index 0cd9ceca8d..492b2421ab 100644
--- a/hw/intc/arm_gic.c
+++ b/hw/intc/arm_gic.c
@@ -1736,6 +1736,7 @@ static MemTxResult gic_cpu_write(GICState *s, int cpu, int offset,
         } else {
             s->apr[regno][cpu] = value;
         }
+        s->running_priority[cpu] = gic_get_prio_from_apr_bits(s, cpu);
         break;
     }
     case 0xe0: case 0xe4: case 0xe8: case 0xec:
@@ -1752,6 +1753,7 @@ static MemTxResult gic_cpu_write(GICState *s, int cpu, int offset,
             return MEMTX_OK;
         }
         s->nsapr[regno][cpu] = value;
+        s->running_priority[cpu] = gic_get_prio_from_apr_bits(s, cpu);
         break;
     }
     case 0x1000: