diff --git a/README.md b/README.md
index 9693273..de6d94c 100644
--- a/README.md
+++ b/README.md
@@ -165,7 +165,7 @@ Usage: check_patroni cluster_has_replica [OPTIONS]
   Check if the cluster has healthy replicas.
 
   A healthy replica:
-  * is in running state
+  * is in running or streaming state (V3.0.4)
   * has a replica role
   * has a lag lower or equal to max_lag
 
@@ -216,7 +216,7 @@ Usage: check_patroni cluster_node_count [OPTIONS]
   * running custom bootstrap script, custom bootstrap failed
   * starting, start failed
   * restarting, restart failed
-  * running
+  * running, streaming (for a replica V3.0.4)
   * stopping, stopped, stop failed
   * creating replica
   * crashed
diff --git a/check_patroni/cli.py b/check_patroni/cli.py
index 30c70ca..52b4989 100644
--- a/check_patroni/cli.py
+++ b/check_patroni/cli.py
@@ -229,7 +229,7 @@ def cluster_node_count(
     * running custom bootstrap script, custom bootstrap failed
     * starting, start failed
     * restarting, restart failed
-    * running
+    * running, streaming (for a replica V3.0.4)
     * stopping, stopped, stop failed
     * creating replica
     * crashed
@@ -322,7 +322,7 @@ def cluster_has_replica(
 
     \b
     A healthy replica:
-    * is in running state
+    * is in running or streaming state (V3.0.4)
     * has a replica role
     * has a lag lower or equal to max_lag
 
diff --git a/check_patroni/cluster.py b/check_patroni/cluster.py
index 62026cf..b5c1d63 100644
--- a/check_patroni/cluster.py
+++ b/check_patroni/cluster.py
@@ -90,7 +90,11 @@ class ClusterHasReplica(PatroniResource):
         for member in item_dict["members"]:
             # FIXME are there other acceptable states
             if member["role"] == "replica":
-                if member["state"] == "running" and member["lag"] != "unknown":
+                # patroni 3.0.4 changed the standby state from running to streaming
+                if (
+                    member["state"] in ["running", "streaming"]
+                    and member["lag"] != "unknown"  # noqa: W503
+                ):
                     replicas.append({"name": member["name"], "lag": member["lag"]})
                     if self.max_lag is None or self.max_lag >= int(member["lag"]):
                         healthy_replica += 1