diff --git a/scheduler/util.go b/scheduler/util.go
index 777c0e00f..b20454db7 100644
--- a/scheduler/util.go
+++ b/scheduler/util.go
@@ -425,6 +425,8 @@ func tasksUpdated(jobA, jobB *structs.Job, taskGroup string) bool {
 		// Inspect the non-network resources
 		if ar, br := at.Resources, bt.Resources; ar.CPU != br.CPU {
 			return true
+		} else if ar.Cores != br.Cores {
+			return true
 		} else if ar.MemoryMB != br.MemoryMB {
 			return true
 		} else if !ar.Devices.Equals(&br.Devices) {
diff --git a/scheduler/util_test.go b/scheduler/util_test.go
index fba5e611a..4fa17ce9d 100644
--- a/scheduler/util_test.go
+++ b/scheduler/util_test.go
@@ -674,13 +674,18 @@ func TestTasksUpdated(t *testing.T) {
 
 	// Change network mode
 	j19 := mock.Job()
+	j19.TaskGroups[0].Networks[0].Mode = "bridge"
+	require.True(t, tasksUpdated(j1, j19, name))
 
+	// Change cores resource
 	j20 := mock.Job()
+	j20.TaskGroups[0].Tasks[0].Resources.CPU = 0
+	j20.TaskGroups[0].Tasks[0].Resources.Cores = 2
+	j21 := mock.Job()
+	j21.TaskGroups[0].Tasks[0].Resources.CPU = 0
+	j21.TaskGroups[0].Tasks[0].Resources.Cores = 4
+	require.True(t, tasksUpdated(j20, j21, name))
 
-	require.False(t, tasksUpdated(j19, j20, name))
-
-	j20.TaskGroups[0].Networks[0].Mode = "bridge"
-	require.True(t, tasksUpdated(j19, j20, name))
 }
 
 func TestTasksUpdated_connectServiceUpdated(t *testing.T) {