diff --git a/libbeat/processors/safe_processor.go b/libbeat/processors/safe_processor.go
index 0032dd53855..c0c65b29117 100644
--- a/libbeat/processors/safe_processor.go
+++ b/libbeat/processors/safe_processor.go
@@ -67,6 +67,12 @@ func SafeWrap(constructor Constructor) Constructor {
 		if err != nil {
 			return nil, err
 		}
+		// if the processor does not implement `Closer`
+		// it does not need a wrap
+		if _, ok := processor.(Closer); !ok {
+			return processor, nil
+		}
+
 		return &SafeProcessor{
 			Processor: processor,
 		}, nil
diff --git a/libbeat/processors/safe_processor_test.go b/libbeat/processors/safe_processor_test.go
index 68e8ee8a594..4f393522f07 100644
--- a/libbeat/processors/safe_processor_test.go
+++ b/libbeat/processors/safe_processor_test.go
@@ -29,33 +29,64 @@ import (
 var mockEvent = &beat.Event{}
 
 type mockProcessor struct {
-	runCount   int
+	runCount int
+}
+
+func (p *mockProcessor) Run(event *beat.Event) (*beat.Event, error) {
+	p.runCount++
+	return mockEvent, nil
+}
+
+func (p *mockProcessor) String() string {
+	return "mock-processor"
+}
+
+type mockCloserProcessor struct {
+	mockProcessor
 	closeCount int
 }
 
-func newMockConstructor() (Constructor, *mockProcessor) {
-	p := mockProcessor{}
+func (p *mockCloserProcessor) Close() error {
+	p.closeCount++
+	return nil
+}
+
+func newMockCloserConstructor() (Constructor, *mockCloserProcessor) {
+	p := mockCloserProcessor{}
 	constructor := func(config *common.Config) (Processor, error) {
 		return &p, nil
 	}
 	return constructor, &p
 }
 
-func (p *mockProcessor) Run(event *beat.Event) (*beat.Event, error) {
-	p.runCount++
-	return mockEvent, nil
+func mockConstructor(config *common.Config) (Processor, error) {
+	return &mockProcessor{}, nil
 }
 
-func (p *mockProcessor) Close() error {
-	p.closeCount++
-	return nil
+func mockCloserConstructor(config *common.Config) (Processor, error) {
+	return &mockCloserProcessor{}, nil
 }
-func (p *mockProcessor) String() string {
-	return "mock-processor"
+
+func TestSafeWrap(t *testing.T) {
+	t.Run("does not wrap a non-closer processor", func(t *testing.T) {
+		nonCloser := mockConstructor
+		wrappedNonCloser := SafeWrap(nonCloser)
+		wp, err := wrappedNonCloser(nil)
+		require.NoError(t, err)
+		require.IsType(t, &mockProcessor{}, wp)
+	})
+
+	t.Run("wraps a closer processor", func(t *testing.T) {
+		closer := mockCloserConstructor
+		wrappedCloser := SafeWrap(closer)
+		wcp, err := wrappedCloser(nil)
+		require.NoError(t, err)
+		require.IsType(t, &SafeProcessor{}, wcp)
+	})
 }
 
 func TestSafeProcessor(t *testing.T) {
-	cons, p := newMockConstructor()
+	cons, p := newMockCloserConstructor()
 	var (
 		sp  Processor
 		err error
@@ -67,10 +98,11 @@ func TestSafeProcessor(t *testing.T) {
 	})
 
 	t.Run("propagates Run to a processor", func(t *testing.T) {
+		require.Equal(t, 0, p.runCount)
+
 		e, err := sp.Run(nil)
 		require.NoError(t, err)
 		require.Equal(t, e, mockEvent)
-
 		e, err = sp.Run(nil)
 		require.NoError(t, err)
 		require.Equal(t, e, mockEvent)
@@ -79,9 +111,10 @@ func TestSafeProcessor(t *testing.T) {
 	})
 
 	t.Run("propagates Close to a processor only once", func(t *testing.T) {
+		require.Equal(t, 0, p.closeCount)
+
 		err := Close(sp)
 		require.NoError(t, err)
-
 		err = Close(sp)
 		require.NoError(t, err)
 
@@ -89,9 +122,10 @@ func TestSafeProcessor(t *testing.T) {
 	})
 
 	t.Run("does not propagate Run when closed", func(t *testing.T) {
+		require.Equal(t, 2, p.runCount) // still 2 from the previous test case
 		e, err := sp.Run(nil)
 		require.Nil(t, e)
 		require.ErrorIs(t, err, ErrClosed)
-		require.Equal(t, 2, p.runCount) // still 2 from the previous test case
+		require.Equal(t, 2, p.runCount)
 	})
 }