diff --git a/binaries/daemon/src/lib.rs b/binaries/daemon/src/lib.rs
index 4db816cd..81bc9699 100644
--- a/binaries/daemon/src/lib.rs
+++ b/binaries/daemon/src/lib.rs
@@ -252,9 +252,7 @@ impl Daemon {
                 }
                 Event::CtrlC => {
                     for dataflow in self.running.values_mut() {
-                        for (_node_id, channel) in dataflow.subscribe_channels.drain() {
-                            let _ = channel.send_async(daemon_messages::NodeEvent::Stop).await;
-                        }
+                        dataflow.stop_all().await;
                     }
                 }
             }
@@ -295,10 +293,7 @@ impl Daemon {
                         .running
                         .get_mut(&dataflow_id)
                         .wrap_err_with(|| format!("no running dataflow with ID `{dataflow_id}`"))?;
-
-                    for (_node_id, channel) in dataflow.subscribe_channels.drain() {
-                        let _ = channel.send_async(daemon_messages::NodeEvent::Stop).await;
-                    }
+                    dataflow.stop_all().await;
                     Result::<(), eyre::Report>::Ok(())
                 };
                 let reply = DaemonCoordinatorReply::StopResult(
@@ -408,15 +403,7 @@ impl Daemon {
     ) -> eyre::Result<()> {
         match event {
             DaemonNodeEvent::Subscribe { event_sender } => {
-                let result = match self.running.get_mut(&dataflow_id) {
-                    Some(dataflow) => {
-                        dataflow.subscribe_channels.insert(node_id, event_sender);
-                        Ok(())
-                    }
-                    None => Err(format!(
-                        "subscribe failed: no running dataflow with ID `{dataflow_id}`"
-                    )),
-                };
+                let result = self.subscribe(dataflow_id, node_id, event_sender).await;
                 let _ = reply_sender.send(DaemonReply::Result(result));
             }
             DaemonNodeEvent::CloseOutputs(outputs) => {
@@ -448,6 +435,55 @@ impl Daemon {
         Ok(())
     }
 
+    async fn subscribe(
+        &mut self,
+        dataflow_id: Uuid,
+        node_id: NodeId,
+        event_sender: flume::Sender<daemon_messages::NodeEvent>,
+    ) -> Result<(), String> {
+        let dataflow = self.running.get_mut(&dataflow_id).ok_or_else(|| {
+            format!("subscribe failed: no running dataflow with ID `{dataflow_id}`")
+        })?;
+
+        // some inputs might have been closed already -> report those events
+        let closed_inputs = dataflow
+            .mappings
+            .values()
+            .flatten()
+            .filter(|(node, _)| node == &node_id)
+            .map(|(_, input)| input)
+            .filter(|input| {
+                dataflow
+                    .open_inputs
+                    .get(&node_id)
+                    .map(|open_inputs| !open_inputs.contains(*input))
+                    .unwrap_or(true)
+            });
+        for input_id in closed_inputs {
+            let _ = event_sender
+                .send_async(daemon_messages::NodeEvent::InputClosed {
+                    id: input_id.clone(),
+                })
+                .await;
+        }
+
+        // if a stop event was already sent for the dataflow, send it to
+        // the newly connected node too
+        if dataflow.stop_sent {
+            let _ = event_sender
+                .send_async(daemon_messages::NodeEvent::Stop)
+                .await;
+        }
+
+        if dataflow.stop_sent || dataflow.open_inputs(&node_id).is_empty() {
+            tracing::debug!("Received subscribe message for closed event stream");
+        } else {
+            dataflow.subscribe_channels.insert(node_id, event_sender);
+        }
+
+        Ok(())
+    }
+
     #[tracing::instrument(skip(self))]
     async fn handle_node_stop(
         &mut self,
@@ -781,6 +817,25 @@ pub struct RunningDataflow {
     running_nodes: BTreeSet<NodeId>,
     /// Keep handles to all timer tasks of this dataflow to cancel them on drop.
     _timer_handles: Vec<futures::future::RemoteHandle<()>>,
+    stop_sent: bool,
+
+    /// Used in `open_inputs`.
+    ///
+    /// TODO: replace this with a constant once `BTreeSet::new` is `const` on stable.
+    empty_set: BTreeSet<DataId>,
+}
+
+impl RunningDataflow {
+    async fn stop_all(&mut self) {
+        for (_node_id, channel) in self.subscribe_channels.drain() {
+            let _ = channel.send_async(daemon_messages::NodeEvent::Stop).await;
+        }
+        self.stop_sent = true;
+    }
+
+    fn open_inputs(&self, node_id: &NodeId) -> &BTreeSet<DataId> {
+        self.open_inputs.get(node_id).unwrap_or(&self.empty_set)
+    }
 }
 
 type OutputId = (NodeId, DataId);