diff --git a/packages/devextreme/js/__internal/grids/grid_core/__tests__/__mock__/helpers/dom_utils.ts b/packages/devextreme/js/__internal/grids/grid_core/__tests__/__mock__/helpers/dom_utils.ts
new file mode 100644
index 000000000000..e70dd3138640
--- /dev/null
+++ b/packages/devextreme/js/__internal/grids/grid_core/__tests__/__mock__/helpers/dom_utils.ts
@@ -0,0 +1,19 @@
+export const simulateTextOverflow = (
+  element: HTMLElement,
+  scrollWidth: number,
+  clientWidth: number,
+): void => {
+  // Mock scrollWidth > clientWidth to simulate text overflow
+  Object.defineProperty(element, 'scrollWidth', { value: scrollWidth, configurable: true });
+  Object.defineProperty(element, 'clientWidth', { value: clientWidth, configurable: true });
+};
+
+export const simulateHoverEvent = (
+  element: HTMLElement,
+  options?: MouseEventInit,
+): void => {
+  element.dispatchEvent(new MouseEvent('mousemove', options ?? {
+    bubbles: true,
+    cancelable: true,
+  }));
+};
diff --git a/packages/devextreme/js/__internal/grids/grid_core/column_headers/__tests__/m_column_headers.test.ts b/packages/devextreme/js/__internal/grids/grid_core/column_headers/__tests__/m_column_headers.test.ts
index 808eb1078b64..42e87ba55f16 100644
--- a/packages/devextreme/js/__internal/grids/grid_core/column_headers/__tests__/m_column_headers.test.ts
+++ b/packages/devextreme/js/__internal/grids/grid_core/column_headers/__tests__/m_column_headers.test.ts
@@ -3,6 +3,10 @@ import {
 } from '@jest/globals';
 import $ from '@js/core/renderer';
 
+import {
+  simulateHoverEvent,
+  simulateTextOverflow,
+} from '../../__tests__/__mock__/helpers/dom_utils';
 import {
   afterTest,
   beforeTest,
@@ -36,4 +40,61 @@ describe('Column Headers', () => {
       expect(component.getHeaderCell(0).getAlignment()).toBe('right');
     });
   });
+
+  describe('when cellHintEnabled: true', () => {
+    it('should show column caption in the tooltip instead of sort index when hovering sort indicator (T1321834)', async () => {
+      const { component } = await createDataGrid({
+        dataSource: [{ id: 1, Position: 'Developer', Name: 'John' }],
+        columns: [
+          {
+            dataField: 'Position',
+            caption: 'Position',
+            width: 30,
+            sortOrder: 'asc',
+            sortIndex: 0,
+          },
+          {
+            dataField: 'Name',
+            caption: 'Name',
+            sortOrder: 'desc',
+            sortIndex: 1,
+          },
+        ],
+        sorting: {
+          mode: 'multiple',
+          showSortIndexes: true,
+        },
+        cellHintEnabled: true,
+      });
+
+      const headerCellElement = component.getHeaderCells()[0];
+      const headerContentElement = component.getHeaderCell(0).getHeaderContent() as HTMLElement;
+
+      simulateTextOverflow(headerContentElement, 50, 20);
+      simulateHoverEvent(headerCellElement);
+
+      expect($(headerCellElement).attr('title')).toBe('Position');
+    });
+
+    it('should show cell text in the tooltip for non-header rows', async () => {
+      const { instance } = await createDataGrid({
+        dataSource: [{ id: 1, Position: 'Very Long Position Name That Should Be Truncated' }],
+        columns: [
+          {
+            dataField: 'Position',
+            caption: 'Position',
+            width: 50,
+          },
+        ],
+        cellHintEnabled: true,
+      });
+
+      const dataCell = instance.getCellElement(0, 0) as HTMLElement;
+
+      simulateTextOverflow(dataCell, 200, 50);
+      simulateHoverEvent(dataCell);
+
+      expect($(dataCell).attr('title')).toBe(dataCell.textContent);
+    });
+  });
 });
diff --git a/packages/devextreme/js/__internal/grids/grid_core/views/m_columns_view.ts b/packages/devextreme/js/__internal/grids/grid_core/views/m_columns_view.ts
index 3866c6dcdf8b..de48318c3aea 100644
--- a/packages/devextreme/js/__internal/grids/grid_core/views/m_columns_view.ts
+++ b/packages/devextreme/js/__internal/grids/grid_core/views/m_columns_view.ts
@@ -43,6 +43,7 @@ const SCROLL_CONTAINER_CLASS = 'scroll-container';
 const SCROLLABLE_SIMULATED_CLASS = 'scrollable-simulated';
 const GROUP_SPACE_CLASS = 'group-space';
 const CONTENT_CLASS = 'content';
+const HEADER_TEXT_CONTENT_CLASS = 'text-content';
 const TABLE_CLASS = 'table';
 const TABLE_FIXED_CLASS = 'table-fixed';
 const CONTENT_FIXED_CLASS = 'content-fixed';
@@ -426,16 +427,7 @@ export class ColumnsView extends ColumnStateMixin(modules.View) {
                                     && !isGroupCellWithTemplate;
 
         if (shouldShowHint) {
-          if ($element.data(CELL_HINT_VISIBLE)) {
-            $element.removeAttr('title');
-            $element.data(CELL_HINT_VISIBLE, false);
-          }
-
-          const difference = $element[0].scrollWidth - $element[0].clientWidth;
-          if (difference > 0 && !isDefined($element.attr('title'))) {
-            $element.attr('title', $element.text());
-            $element.data(CELL_HINT_VISIBLE, true);
-          }
+          this._setCellTitleAttribute($element, isHeaderRow);
         }
       }));
     }
@@ -493,6 +485,32 @@ export class ColumnsView extends ColumnStateMixin(modules.View) {
     return $table;
   }
 
+  private _setCellTitleAttribute($cell: dxElementWrapper, isHeaderRow: boolean): void {
+    if ($cell.data(CELL_HINT_VISIBLE)) {
+      $cell.removeAttr('title');
+      $cell.data(CELL_HINT_VISIBLE, false);
+    }
+
+    let $cellContent = $cell;
+    const headerContentClass = this.addWidgetPrefix(HEADER_TEXT_CONTENT_CLASS);
+
+    if (isHeaderRow && !$cell.hasClass(headerContentClass)) {
+      const $headerContent = $cell.find(`.${headerContentClass}`);
+      $cellContent = $headerContent.length ? $headerContent : $cellContent;
+    }
+
+    const hasWidthOverflow = $cellContent[0].scrollWidth - $cellContent[0].clientWidth > 0;
+
+    if (!hasWidthOverflow || isDefined($cell.attr('title'))) {
+      return;
+    }
+
+    const hintText = $cellContent.text() || $cell.text();
+
+    $cell.attr('title', hintText);
+    $cell.data(CELL_HINT_VISIBLE, true);
+  }
+
   /**
    * @extended: editing
    */