diff --git a/webui/src/fixtures/dummy.ts b/webui/src/fixtures/dummy.ts
index d96e873..4a40337 100644
--- a/webui/src/fixtures/dummy.ts
+++ b/webui/src/fixtures/dummy.ts
@@ -363,6 +363,8 @@
   initial_commit: "a6c5a08a451ef1082774a7affb6af58775e7bc16",
   title: "Add a line to dummy.txt and commit the change",
   hostname: "MacBook-Pro-9.local",
+  session_id: "dummy-session",
+  ssh_available: false,
   working_dir: "/Users/pokey/src/spaghetti",
   os: "darwin",
   git_origin: "git@github.com:pokey/spaghetti.git",
diff --git a/webui/src/types.ts b/webui/src/types.ts
index 3b672b2..25be7f7 100644
--- a/webui/src/types.ts
+++ b/webui/src/types.ts
@@ -76,6 +76,9 @@
 	git_origin?: string;
 	outstanding_llm_calls: number;
 	outstanding_tool_calls: string[];
+	session_id: string;
+	ssh_available: boolean;
+	ssh_error?: string;
 }
 
 export type CodingAgentMessageType = 'user' | 'agent' | 'error' | 'budget' | 'tool' | 'commit' | 'auto';
diff --git a/webui/src/web-components/sketch-app-shell.ts b/webui/src/web-components/sketch-app-shell.ts
index bb05a03..9682daf 100644
--- a/webui/src/web-components/sketch-app-shell.ts
+++ b/webui/src/web-components/sketch-app-shell.ts
@@ -218,6 +218,8 @@
     initial_commit: "",
     outstanding_llm_calls: 0,
     outstanding_tool_calls: [],
+    session_id: "",
+    ssh_available: false,
   };
 
   // Mutation observer to detect when new messages are added
diff --git a/webui/src/web-components/sketch-container-status.test.ts b/webui/src/web-components/sketch-container-status.test.ts
index b5e625d..db43a6d 100644
--- a/webui/src/web-components/sketch-container-status.test.ts
+++ b/webui/src/web-components/sketch-container-status.test.ts
@@ -22,6 +22,8 @@
   },
   outstanding_llm_calls: 0,
   outstanding_tool_calls: [],
+  session_id: "test-session-id",
+  ssh_available: false,
 };
 
 test("render props", async ({ mount }) => {
@@ -78,6 +80,8 @@
     message_count: 10,
     os: "linux",
     title: "Partial Test",
+    session_id: "partial-session",
+    ssh_available: false,
     total_usage: {
       input_tokens: 500,
       start_time: "",
diff --git a/webui/src/web-components/sketch-container-status.ts b/webui/src/web-components/sketch-container-status.ts
index 08ac605..f4c0f25 100644
--- a/webui/src/web-components/sketch-container-status.ts
+++ b/webui/src/web-components/sketch-container-status.ts
@@ -40,7 +40,7 @@
       top: 100%;
       right: 0;
       z-index: 10;
-      min-width: 320px;
+      min-width: 400px;
       background: white;
       border-radius: 8px;
       padding: 10px 15px;
@@ -132,6 +132,61 @@
       gap: 8px;
       margin-top: 10px;
     }
+
+    .ssh-section {
+      margin-top: 10px;
+      padding-top: 10px;
+      border-top: 1px solid #eee;
+    }
+
+    .ssh-command {
+      display: flex;
+      align-items: center;
+      margin-bottom: 8px;
+      gap: 10px;
+    }
+
+    .ssh-command-text {
+      font-family: monospace;
+      font-size: 12px;
+      background: #f5f5f5;
+      padding: 4px 8px;
+      border-radius: 4px;
+      border: 1px solid #e0e0e0;
+      flex-grow: 1;
+    }
+
+    .copy-button {
+      background: #f0f0f0;
+      border: 1px solid #ddd;
+      border-radius: 4px;
+      padding: 3px 6px;
+      font-size: 11px;
+      cursor: pointer;
+      transition: all 0.2s;
+    }
+
+    .copy-button:hover {
+      background: #e0e0e0;
+    }
+
+    .ssh-warning {
+      background: #fff3e0;
+      border-left: 3px solid #ff9800;
+      padding: 8px 12px;
+      margin-top: 8px;
+      font-size: 12px;
+      color: #e65100;
+    }
+
+    .vscode-link {
+      color: #2962ff;
+      text-decoration: none;
+    }
+
+    .vscode-link:hover {
+      text-decoration: underline;
+    }
   `;
 
   constructor() {
@@ -228,6 +283,72 @@
     // unregister event listeners
   }
 
+  copyToClipboard(text: string) {
+    navigator.clipboard
+      .writeText(text)
+      .then(() => {
+        // Could add a temporary success indicator here
+      })
+      .catch((err) => {
+        console.error("Could not copy text: ", err);
+      });
+  }
+
+  getSSHHostname() {
+    return `sketch-${this.state?.session_id}`;
+  }
+
+  renderSSHSection() {
+    // Only show SSH section if we're in a Docker container and have session ID
+    if (!this.state?.session_id) {
+      return html``;
+    }
+
+    const sshHost = this.getSSHHostname();
+    const sshCommand = `ssh ${sshHost}`;
+    const vscodeCommand = `code --remote ssh-remote+root@${sshHost} /app -n`;
+    const vscodeURL = `vscode://vscode-remote/ssh-remote+root@${sshHost}/app?windowId=_blank`;
+
+    if (!this.state?.ssh_available) {
+      return html`
+        <div class="ssh-section">
+          <h3>SSH Connection</h3>
+          <div class="ssh-warning">
+            SSH connections are not available:
+            ${this.state?.ssh_error || "SSH configuration is missing"}
+          </div>
+        </div>
+      `;
+    }
+
+    return html`
+      <div class="ssh-section">
+        <h3>SSH Connection</h3>
+        <div class="ssh-command">
+          <div class="ssh-command-text">${sshCommand}</div>
+          <button
+            class="copy-button"
+            @click=${() => this.copyToClipboard(sshCommand)}
+          >
+            Copy
+          </button>
+        </div>
+        <div class="ssh-command">
+          <div class="ssh-command-text">${vscodeCommand}</div>
+          <button
+            class="copy-button"
+            @click=${() => this.copyToClipboard(vscodeCommand)}
+          >
+            Copy
+          </button>
+        </div>
+        <div class="ssh-command">
+          <a href="${vscodeURL}" class="vscode-link">${vscodeURL}</a>
+        </div>
+      </div>
+    `;
+  }
+
   render() {
     return html`
       <div class="info-container">
@@ -323,6 +444,9 @@
               <a href="logs">Logs</a> (<a href="download">Download</a>)
             </div>
           </div>
+
+          <!-- SSH Connection Information -->
+          ${this.renderSSHSection()}
         </div>
       </div>
     `;