diff --git a/metricbeat/module/docker/memory/memory.go b/metricbeat/module/docker/memory/memory.go
index a4f561389725..140383de833e 100644
--- a/metricbeat/module/docker/memory/memory.go
+++ b/metricbeat/module/docker/memory/memory.go
@@ -22,6 +22,8 @@ package memory
 import (
 	"fmt"
 
+	"github.com/elastic/elastic-agent-libs/logp"
+
 	"github.com/docker/docker/client"
 
 	"github.com/elastic/beats/v7/metricbeat/mb"
@@ -41,16 +43,18 @@ type MetricSet struct {
 	memoryService *MemoryService
 	dockerClient  *client.Client
 	dedot         bool
+	logger        *logp.Logger
 }
 
 // New creates a new instance of the docker memory MetricSet.
 func New(base mb.BaseMetricSet) (mb.MetricSet, error) {
+	logger := logp.NewLogger("docker.memory")
 	config := docker.DefaultConfig()
 	if err := base.Module().UnpackConfig(&config); err != nil {
 		return nil, err
 	}
 
-	client, err := docker.NewDockerClient(base.HostData().URI, config)
+	dockerClient, err := docker.NewDockerClient(base.HostData().URI, config)
 	if err != nil {
 		return nil, err
 	}
@@ -58,8 +62,9 @@ func New(base mb.BaseMetricSet) (mb.MetricSet, error) {
 	return &MetricSet{
 		BaseMetricSet: base,
 		memoryService: &MemoryService{},
-		dockerClient:  client,
+		dockerClient:  dockerClient,
 		dedot:         config.DeDot,
+		logger:        logger,
 	}, nil
 }
 
@@ -72,7 +77,10 @@ func (m *MetricSet) Fetch(r mb.ReporterV2) error {
 
 	memoryStats := m.memoryService.getMemoryStatsList(stats, m.dedot)
 	if len(memoryStats) == 0 {
-		return fmt.Errorf("No memory stats data available")
+		// No memory stats available, probably
+		// because no containers are running.
+		m.logger.Debug("No memory stats data available")
+		return nil
 	}
 	eventsMapping(r, memoryStats)