diff --git a/superset-frontend/packages/superset-ui-core/src/components/Select/Select.test.tsx b/superset-frontend/packages/superset-ui-core/src/components/Select/Select.test.tsx
index 93608a5031a..e13c98c5473 100644
--- a/superset-frontend/packages/superset-ui-core/src/components/Select/Select.test.tsx
+++ b/superset-frontend/packages/superset-ui-core/src/components/Select/Select.test.tsx
@@ -779,6 +779,38 @@ test('Renders only an overflow tag if dropdown is open in oneLine mode', async (
   expect(withinSelector.getByText('+ 2 ...')).toBeVisible();
 });
 
+// Test for checking the issue described in: https://github.com/apache/superset/issues/35132
+test('Maintains stable maxTagCount to prevent click target disappearing in oneLine mode', async () => {
+  render(
+    <Select
+      {...defaultProps}
+      value={[OPTIONS[0], OPTIONS[1], OPTIONS[2]]}
+      mode="multiple"
+      oneLine
+    />,
+  );
+
+  const withinSelector = within(getElementByClassName('.ant-select-selector'));
+  expect(withinSelector.getByText(OPTIONS[0].label)).toBeVisible();
+  expect(withinSelector.getByText('+ 2 ...')).toBeVisible();
+
+  await userEvent.click(getSelect());
+  expect(withinSelector.getByText(OPTIONS[0].label)).toBeVisible();
+
+  await waitFor(() => {
+    expect(
+      withinSelector.queryByText(OPTIONS[0].label),
+    ).not.toBeInTheDocument();
+    expect(withinSelector.getByText('+ 3 ...')).toBeVisible();
+  });
+
+  // Close dropdown
+  await type('{esc}');
+
+  expect(await withinSelector.findByText(OPTIONS[0].label)).toBeVisible();
+  expect(withinSelector.getByText('+ 2 ...')).toBeVisible();
+});
+
 test('does not render "Select all" when there are 0 or 1 options', async () => {
   const { rerender } = render(
     <Select {...defaultProps} options={[]} mode="multiple" allowNewOptions />,
diff --git a/superset-frontend/packages/superset-ui-core/src/components/Select/Select.tsx b/superset-frontend/packages/superset-ui-core/src/components/Select/Select.tsx
index bf8c99263d4..e8300f6eb39 100644
--- a/superset-frontend/packages/superset-ui-core/src/components/Select/Select.tsx
+++ b/superset-frontend/packages/superset-ui-core/src/components/Select/Select.tsx
@@ -24,6 +24,7 @@ import {
   useMemo,
   useState,
   useCallback,
+  useRef,
   ClipboardEvent,
   Ref,
   ReactElement,
@@ -143,6 +144,32 @@ const Select = forwardRef(
         : 1
       : (propsMaxTagCount ?? MAX_TAG_COUNT);
 
+    // Prevent maxTagCount change during click events to avoid click target disappearing
+    const [stableMaxTagCount, setStableMaxTagCount] = useState(maxTagCount);
+    const isOpeningRef = useRef(false);
+
+    useEffect(() => {
+      if (oneLine) {
+        if (isDropdownVisible && !isOpeningRef.current) {
+          // Mark that we're in the opening process
+          isOpeningRef.current = true;
+          // Use requestAnimationFrame to ensure DOM has settled after the click
+          requestAnimationFrame(() => {
+            setStableMaxTagCount(0);
+            isOpeningRef.current = false;
+          });
+          return;
+        }
+        if (!isDropdownVisible) {
+          // When closing, immediately show the first tag
+          setStableMaxTagCount(1);
+          isOpeningRef.current = false;
+        }
+        return;
+      }
+      setStableMaxTagCount(maxTagCount);
+    }, [maxTagCount, isDropdownVisible, oneLine]);
+
     const mappedMode = isSingleMode ? undefined : 'multiple';
 
     const sortSelectedFirst = useCallback(
@@ -599,16 +626,16 @@ const Select = forwardRef(
 
     const omittedCount = useMemo(() => {
       const num_selected = ensureIsArray(selectValue).length;
-      const num_shown = maxTagCount as number;
+      const num_shown = stableMaxTagCount as number;
       return num_selected - num_shown - (selectAllMode ? 1 : 0);
-    }, [maxTagCount, selectAllMode, selectValue]);
+    }, [stableMaxTagCount, selectAllMode, selectValue]);
 
     const customMaxTagPlaceholder = () =>
       `+ ${omittedCount > 0 ? omittedCount : 1} ...`;
 
     // We can't remove the + tag so when Select All
     // is the only item omitted, we subtract one from maxTagCount
-    let actualMaxTagCount = maxTagCount;
+    let actualMaxTagCount = stableMaxTagCount;
     if (
       actualMaxTagCount !== 'responsive' &&
       omittedCount === 0 &&