diff --git a/src/material/chips/chip-option.html b/src/material/chips/chip-option.html
index 0456dd9264c3..41c408c4470b 100644
--- a/src/material/chips/chip-option.html
+++ b/src/material/chips/chip-option.html
@@ -11,7 +11,7 @@
     [_allowFocusWhenDisabled]="true"
     [attr.aria-selected]="ariaSelected"
     [attr.aria-label]="ariaLabel"
-    [attr.aria-description]="ariaDescription"
+    [attr.aria-describedby]="_ariaDescriptionId"
     role="option">
     <span class="mdc-evolution-chip__graphic mat-mdc-chip-graphic">
       <ng-content select="mat-chip-avatar, [matChipAvatar]"></ng-content>
@@ -34,3 +34,5 @@
   *ngIf="_hasTrailingIcon()">
   <ng-content select="mat-chip-trailing-icon,[matChipRemove],[matChipTrailingIcon]"></ng-content>
 </span>
+
+<span class="cdk-visually-hidden" [id]="_ariaDescriptionId">{{ariaDescription}}</span>
\ No newline at end of file
diff --git a/src/material/chips/chip-option.spec.ts b/src/material/chips/chip-option.spec.ts
index 4ee1dd1ecbb3..43b8d56cdc40 100644
--- a/src/material/chips/chip-option.spec.ts
+++ b/src/material/chips/chip-option.spec.ts
@@ -308,8 +308,28 @@ describe('MDC-based Option Chips', () => {
           .withContext('expected to find an element with option role')
           .toBeTruthy();
 
-        expect(optionElement.getAttribute('aria-label')).toBe('option name');
-        expect(optionElement.getAttribute('aria-description')).toBe('option description');
+        expect(optionElement.getAttribute('aria-label')).toMatch(/option name/i);
+
+        const optionElementDescribedBy = optionElement!.getAttribute('aria-describedby');
+        expect(optionElementDescribedBy)
+          .withContext('expected primary grid cell to have a non-empty aria-describedby attribute')
+          .toBeTruthy();
+
+        const optionElementDescriptions = Array.from(
+          (fixture.nativeElement as HTMLElement).querySelectorAll(
+            optionElementDescribedBy!
+              .split(/\s+/g)
+              .map(x => `#${x}`)
+              .join(','),
+          ),
+        );
+
+        const optionElementDescription = optionElementDescriptions
+          .map(x => x.textContent?.trim())
+          .join(' ')
+          .trim();
+
+        expect(optionElementDescription).toMatch(/option description/i);
       });
     });
 
diff --git a/src/material/chips/chip-row.html b/src/material/chips/chip-row.html
index ea013feaffa1..218fdfc181d9 100644
--- a/src/material/chips/chip-row.html
+++ b/src/material/chips/chip-row.html
@@ -14,7 +14,7 @@
     [tabIndex]="tabIndex"
     [disabled]="disabled"
     [attr.aria-label]="ariaLabel"
-    [attr.aria-description]="ariaDescription">
+    [attr.aria-describedby]="_ariaDescriptionId">
     <span class="mdc-evolution-chip__graphic mat-mdc-chip-graphic" *ngIf="leadingIcon">
       <ng-content select="mat-chip-avatar, [matChipAvatar]"></ng-content>
     </span>
@@ -38,3 +38,5 @@
   *ngIf="_hasTrailingIcon()">
   <ng-content select="mat-chip-trailing-icon,[matChipRemove],[matChipTrailingIcon]"></ng-content>
 </span>
+
+<span class="cdk-visually-hidden" [id]="_ariaDescriptionId">{{ariaDescription}}</span>
diff --git a/src/material/chips/chip-row.spec.ts b/src/material/chips/chip-row.spec.ts
index 20b198679ba3..1c4e69390fac 100644
--- a/src/material/chips/chip-row.spec.ts
+++ b/src/material/chips/chip-row.spec.ts
@@ -340,15 +340,35 @@ describe('MDC-based Row Chips', () => {
 
         fixture.detectChanges();
 
-        const primaryGridCell = fixture.nativeElement.querySelector(
+        const primaryGridCell = (fixture.nativeElement as HTMLElement).querySelector(
           '[role="gridcell"].mdc-evolution-chip__cell--primary .mat-mdc-chip-action',
         );
         expect(primaryGridCell)
           .withContext('expected to find the grid cell for the primary chip action')
           .toBeTruthy();
 
-        expect(primaryGridCell.getAttribute('aria-label')).toBe('chip name');
-        expect(primaryGridCell.getAttribute('aria-description')).toBe('chip description');
+        expect(primaryGridCell!.getAttribute('aria-label')).toMatch(/chip name/i);
+
+        const primaryGridCellDescribedBy = primaryGridCell!.getAttribute('aria-describedby');
+        expect(primaryGridCellDescribedBy)
+          .withContext('expected primary grid cell to have a non-empty aria-describedby attribute')
+          .toBeTruthy();
+
+        const primaryGridCellDescriptions = Array.from(
+          (fixture.nativeElement as HTMLElement).querySelectorAll(
+            primaryGridCellDescribedBy!
+              .split(/\s+/g)
+              .map(x => `#${x}`)
+              .join(','),
+          ),
+        );
+
+        const primaryGridCellDescription = primaryGridCellDescriptions
+          .map(x => x.textContent?.trim())
+          .join(' ')
+          .trim();
+
+        expect(primaryGridCellDescription).toMatch(/chip description/i);
       });
     });
   });
diff --git a/src/material/chips/chip.ts b/src/material/chips/chip.ts
index 66e975061eb5..d1457b7b9f42 100644
--- a/src/material/chips/chip.ts
+++ b/src/material/chips/chip.ts
@@ -147,12 +147,21 @@ export class MatChip
   /** A unique id for the chip. If none is supplied, it will be auto-generated. */
   @Input() id: string = `mat-mdc-chip-${uid++}`;
 
+  // TODO(#26104): Consider deprecating and using `_computeAriaAccessibleName` instead.
+  // `ariaLabel` may be unnecessary, and `_computeAriaAccessibleName` only supports
+  // datepicker's use case.
   /** ARIA label for the content of the chip. */
   @Input('aria-label') ariaLabel: string | null = null;
 
+  // TODO(#26104): Consider deprecating and using `_computeAriaAccessibleName` instead.
+  // `ariaDescription` may be unnecessary, and `_computeAriaAccessibleName` only supports
+  // datepicker's use case.
   /** ARIA description for the content of the chip. */
   @Input('aria-description') ariaDescription: string | null = null;
 
+  /** Id of a span that contains this chip's aria description. */
+  _ariaDescriptionId = `${this.id}-aria-description`;
+
   private _textElement!: HTMLElement;
 
   /**
diff --git a/tools/public_api_guard/material/chips.md b/tools/public_api_guard/material/chips.md
index 9575408cbb29..fd298df7f983 100644
--- a/tools/public_api_guard/material/chips.md
+++ b/tools/public_api_guard/material/chips.md
@@ -65,6 +65,7 @@ export class MatChip extends _MatChipMixinBase implements AfterViewInit, CanColo
     constructor(_changeDetectorRef: ChangeDetectorRef, elementRef: ElementRef<HTMLElement>, _ngZone: NgZone, _focusMonitor: FocusMonitor, _document: any, animationMode?: string, _globalRippleOptions?: RippleGlobalOptions | undefined, tabIndex?: string);
     _animationsDisabled: boolean;
     ariaDescription: string | null;
+    _ariaDescriptionId: string;
     ariaLabel: string | null;
     protected basicChipAttrName: string;
     // (undocumented)