diff --git a/src/terminal/view.rs b/src/terminal/view.rs
index 4a89442d..57cc649d 100644
--- a/src/terminal/view.rs
+++ b/src/terminal/view.rs
@@ -1782,6 +1782,26 @@ impl TerminalView {
         self.ssh_spec.is_some() && self.terminal.exited
     }
 
+    /// Whether this pane's SSH session is still up.
+    ///
+    /// Two halves, and the second is the one that is easy to forget. The phase
+    /// is whatever the daemon's status stream last reported, and nothing walks
+    /// it back when the pane's process ends: an `exit` on the far side, a
+    /// dropped link, a killed client all leave `Connected` standing as the last
+    /// thing anyone said. Asking the phase alone therefore answers "was it ever
+    /// connected", and every feature gated on it — remote file browsing, the
+    /// SSH actions, the close warning — goes on offering itself over a link
+    /// that is gone.
+    ///
+    /// One method rather than the four spellings this had, two of which had
+    /// already drifted.
+    pub fn ssh_session_live(&self) -> bool {
+        matches!(
+            self.ssh_phase(),
+            Some(crate::daemon::protocol::SshPhase::Connected)
+        ) && !self.terminal.exited
+    }
+
     /// Takes a title the program set, and gives it to the tab only once it has
     /// stood for `TITLE_SETTLE`.
     ///
diff --git a/src/ui/app.rs b/src/ui/app.rs
index a242faae..06635263 100644
--- a/src/ui/app.rs
+++ b/src/ui/app.rs
@@ -6211,10 +6211,8 @@ impl Tty7App {
     }
 
     fn leaf_is_warn_ssh(&self, leaf: &Entity<TerminalView>, cx: &App) -> bool {
-        use crate::daemon::protocol::SshPhase;
         let v = leaf.read(cx);
-        let connected = matches!(v.ssh_phase(), Some(SshPhase::Connected)) && !v.terminal.exited;
-        if !connected {
+        if !v.ssh_session_live() {
             return false;
         }
         let cfg = cx.global::<Config>();
@@ -6426,7 +6424,7 @@ impl Tty7App {
         window: &Window,
         cx: &App,
     ) -> Option<(u64, RemoteContext)> {
-        use crate::daemon::protocol::{RemoteKind, SshPhase};
+        use crate::daemon::protocol::RemoteKind;
         let (pane_id, remote) = self.active_ssh_pane(window, cx)?;
         if remote.kind != RemoteKind::NativeSsh {
             return None;
@@ -6436,7 +6434,9 @@ impl Tty7App {
             .get(self.active)?
             .pane
             .focused_or_first(window, cx)?;
-        matches!(leaf.read(cx).ssh_phase(), Some(SshPhase::Connected)).then_some((pane_id, remote))
+        leaf.read(cx)
+            .ssh_session_live()
+            .then_some((pane_id, remote))
     }
 
     pub(crate) fn select_settings_section(
@@ -10573,4 +10573,65 @@ mod managed_forward_gpui_tests {
             assert!(app.loopback_panel.mf_error.is_some());
         });
     }
+
+    /// A phase is a report, not a state the app keeps up to date. Nothing walks
+    /// `Connected` back when the pane's process ends, so a session that has
+    /// exited still says the last thing it said — and every feature that asked
+    /// the phase alone went on offering itself over a link that was gone. Two
+    /// of the four places that asked had already drifted to exactly that.
+    ///
+    /// The features are what this pins, not the predicate: the close warning
+    /// stops nagging about a session that is already over, and the remote file
+    /// pane stops offering to browse it.
+    #[gpui::test]
+    fn a_session_that_has_exited_is_not_a_live_ssh_session(cx: &mut TestAppContext) {
+        use crate::daemon::protocol::SshPhase;
+
+        let (app, mut vcx, _streams) = harness_with_tabs(cx, 1);
+        vcx.update(|_, cx| {
+            cx.global_mut::<crate::core::config::Config>()
+                .ssh_warn_on_close = true;
+        });
+
+        let leaf = app.update_in(&mut vcx, |app, _window, cx| {
+            let leaf = app.tabs[0]
+                .pane
+                .terminals()
+                .first()
+                .cloned()
+                .expect("the harness tab has a terminal");
+            leaf.read(cx)
+                .terminal
+                .seed_ssh_phase_for_test(Some(SshPhase::Connected));
+            leaf
+        });
+
+        app.update_in(&mut vcx, |app, _window, cx| {
+            assert!(
+                leaf.read(cx).ssh_session_live(),
+                "the fixture has to look like a live session first"
+            );
+            assert!(
+                app.tab_has_warn_ssh(0, cx),
+                "and closing it is worth asking about"
+            );
+        });
+
+        // The far side hung up. The phase still says Connected, because that is
+        // the last thing the status stream said and nothing retracts it.
+        leaf.update(&mut vcx, |v, _| v.terminal.exited = true);
+
+        app.update_in(&mut vcx, |app, _window, cx| {
+            assert_eq!(
+                leaf.read(cx).ssh_phase(),
+                Some(SshPhase::Connected),
+                "the phase is not walked back — that is the whole trap"
+            );
+            assert!(!leaf.read(cx).ssh_session_live(), "but the session is over");
+            assert!(
+                !app.tab_has_warn_ssh(0, cx),
+                "so closing the pane is not worth asking about any more"
+            );
+        });
+    }
 }
diff --git a/src/ui/right_panel.rs b/src/ui/right_panel.rs
index 76298214..34480a3d 100644
--- a/src/ui/right_panel.rs
+++ b/src/ui/right_panel.rs
@@ -1392,13 +1392,11 @@ impl Tty7App {
         window: &mut Window,
         cx: &mut Context<Self>,
     ) -> Option<(u64, String)> {
-        use crate::daemon::protocol::{RemoteKind, SshPhase};
+        use crate::daemon::protocol::RemoteKind;
         let leaf = self.tabs.get(self.active)?.detail_pane(window, cx)?;
         let view = leaf.read(cx);
         let remote = view.remote_context()?;
-        if remote.kind != RemoteKind::NativeSsh
-            || !matches!(view.ssh_phase(), Some(SshPhase::Connected))
-        {
+        if remote.kind != RemoteKind::NativeSsh || !view.ssh_session_live() {
             return None;
         }
         Some((view.pane_id, remote.target))
diff --git a/src/ui/settings.rs b/src/ui/settings.rs
index ab8ad8f0..b4888538 100644
--- a/src/ui/settings.rs
+++ b/src/ui/settings.rs
@@ -3245,12 +3245,11 @@ impl Tty7App {
     }
 
     fn live_ssh_profiles(&self, cx: &App) -> std::collections::HashSet<Uuid> {
-        use crate::daemon::protocol::SshPhase;
         let mut live = std::collections::HashSet::new();
         for tab in &self.tabs {
             for leaf in tab.pane.terminals() {
                 let v = leaf.read(cx);
-                if !matches!(v.ssh_phase(), Some(SshPhase::Connected)) || v.terminal.exited {
+                if !v.ssh_session_live() {
                     continue;
                 }
                 if let Some(id) = v