diff --git a/static/js/modelPicker.js b/static/js/modelPicker.js
index 3c57a80e4..a0e7095c6 100644
--- a/static/js/modelPicker.js
+++ b/static/js/modelPicker.js
@@ -328,6 +328,9 @@ function _initModelPickerDropdown() {
       const nameSpan = document.createElement('span');
       nameSpan.className = 'mp-model-name';
       nameSpan.textContent = m.display;
+      // Long model names are clipped with ellipsis — expose the full name on
+      // hover so the suffix/variant tag is still discoverable (#1982).
+      nameSpan.title = m.display;
       row.appendChild(nameSpan);
       if (m.stale) {
         const badge = document.createElement('span');
@@ -735,6 +738,9 @@ export function updateModelPicker() {
   }
 
   const displayName = modelId ? modelId.split('/').pop() : 'Select model';
+  // The header indicator clips long names with ellipsis; show the full model
+  // identifier on hover (#1982). No tooltip on the "Select model" placeholder.
+  label.title = modelId || '';
   const logo = modelId ? providerLogo(modelId) : null;
   if (logo) {
     label.innerHTML = '<span class="model-picker-logo">' + logo + '</span> ' + displayName;
diff --git a/tests/test_model_name_tooltip.py b/tests/test_model_name_tooltip.py
new file mode 100644
index 000000000..e1f1bdf7b
--- /dev/null
+++ b/tests/test_model_name_tooltip.py
@@ -0,0 +1,26 @@
+"""Regression for issue #1982 — long model names are clipped with ellipsis in
+two surfaces (the model-picker dropdown items and the chat-header model
+indicator) with no tooltip, so the suffix/variant tag is undiscoverable.
+
+The fix adds a `title` (native hover tooltip) carrying the full name to both
+render sites in static/js/modelPicker.js. The module pulls in browser globals so
+it can't be imported under node; this guards the two title assignments at source.
+"""
+import re
+from pathlib import Path
+
+SRC = (Path(__file__).resolve().parent.parent / "static/js/modelPicker.js").read_text(encoding="utf-8")
+
+
+def test_dropdown_item_has_title_tooltip():
+    # The dropdown item name span must carry a title with the full display name.
+    assert re.search(r"nameSpan\.title\s*=\s*m\.display", SRC), \
+        "dropdown model-name span needs a title tooltip (#1982)"
+
+
+def test_header_indicator_has_title_tooltip():
+    # updateModelPicker must set the header label's title to the full model id
+    # (empty for the 'Select model' placeholder).
+    body = SRC[SRC.index("export function updateModelPicker()"):]
+    assert re.search(r"label\.title\s*=\s*modelId\b", body), \
+        "header model indicator needs a title tooltip (#1982)"