diff --git a/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/SourceAndAck.scala b/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/SourceAndAck.scala
index 358ae44..fbed044 100644
--- a/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/SourceAndAck.scala
+++ b/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/SourceAndAck.scala
@@ -73,8 +73,17 @@ object SourceAndAck {
    */
   case class LaggingEventProcessor(latency: FiniteDuration) extends Unhealthy
 
+  /**
+   * The health status expected if the source of events has been inactive for some time
+   *
+   * @param duration
+   *   How long the source of events has been inactive
+   */
+  case class InactiveSource(duration: FiniteDuration) extends Unhealthy
+
   implicit def showUnhealthy: Show[Unhealthy] = Show {
     case Disconnected                   => "No connection to a source of events"
     case LaggingEventProcessor(latency) => show"Processing latency is $latency"
+    case InactiveSource(duration)       => show"Source of events has been inactive for $duration"
   }
 }
diff --git a/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSource.scala b/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSource.scala
index 7fe3b44..dbdb5ae 100644
--- a/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSource.scala
+++ b/modules/streams-core/src/main/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSource.scala
@@ -122,7 +122,7 @@ private[sources] object LowLevelSource {
         case (_, Some(lastPullTime), _, now) if now - lastPullTime > maxAllowedProcessingLatency =>
           SourceAndAck.LaggingEventProcessor(now - lastPullTime)
         case (_, _, lastLiveness, now) if now - lastLiveness > maxAllowedProcessingLatency =>
-          SourceAndAck.LaggingEventProcessor(now - lastLiveness)
+          SourceAndAck.InactiveSource(now - lastLiveness)
         case _ => SourceAndAck.Healthy
       }
   }
diff --git a/modules/streams-core/src/test/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSourceSpec.scala b/modules/streams-core/src/test/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSourceSpec.scala
index 7129c24..a7dfece 100644
--- a/modules/streams-core/src/test/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSourceSpec.scala
+++ b/modules/streams-core/src/test/scala/com.snowplowanalytics.snowplow/sources/internal/LowLevelSourceSpec.scala
@@ -635,7 +635,7 @@ class LowLevelSourceSpec extends Specification with CatsEffect {
       _ <- IO.sleep(5.minutes)
       health <- sourceAndAck.isHealthy(5.seconds)
       _ <- fiber.cancel
-    } yield health must beEqualTo(SourceAndAck.LaggingEventProcessor(10.seconds))
+    } yield health must beEqualTo(SourceAndAck.InactiveSource(10.seconds))
 
     TestControl.executeEmbed(io)
   }