diff --git a/src/cdk/drag-drop/directives/drag-preview.ts b/src/cdk/drag-drop/directives/drag-preview.ts
index bd7674e0668a..ec925b6f4990 100644
--- a/src/cdk/drag-drop/directives/drag-preview.ts
+++ b/src/cdk/drag-drop/directives/drag-preview.ts
@@ -43,6 +43,9 @@ export class CdkDragPreview<T = any> implements OnDestroy {
   /** Whether the preview should preserve the same size as the item that is being dragged. */
   @Input({transform: booleanAttribute}) matchSize: boolean = false;
 
+  /** Whether the preview should snap the starting position centered under the cursor. */
+  @Input({transform: booleanAttribute}) snapToCursor: boolean = false;
+
   constructor(...args: unknown[]);
 
   constructor() {
diff --git a/src/cdk/drag-drop/directives/drag.ts b/src/cdk/drag-drop/directives/drag.ts
index b30c42a2fe5e..232340c9f5f4 100644
--- a/src/cdk/drag-drop/directives/drag.ts
+++ b/src/cdk/drag-drop/directives/drag.ts
@@ -437,6 +437,7 @@ export class CdkDrag<T = any> implements AfterViewInit, OnChanges, OnDestroy {
               template: this._previewTemplate.templateRef,
               context: this._previewTemplate.data,
               matchSize: this._previewTemplate.matchSize,
+              snapToCursor: this._previewTemplate.snapToCursor,
               viewContainer: this._viewContainerRef,
             }
           : null;
diff --git a/src/cdk/drag-drop/directives/drop-list-shared.spec.ts b/src/cdk/drag-drop/directives/drop-list-shared.spec.ts
index 20393fd6788a..a834b21a30da 100644
--- a/src/cdk/drag-drop/directives/drop-list-shared.spec.ts
+++ b/src/cdk/drag-drop/directives/drop-list-shared.spec.ts
@@ -823,6 +823,92 @@ export function defineCommonDropListTests(config: {
       expect(anchor!.parentNode).toBeFalsy();
     }));
 
+    it('should display preview on mousedown for config.dragStartThreshold = 0', fakeAsync(() => {
+      const fixture = createComponent(DraggableInDropZoneWithCustomPreview, {
+        providers: [
+          {
+            provide: CDK_DRAG_CONFIG,
+            useValue: {
+              dragStartThreshold: 0,
+            },
+          },
+        ],
+      });
+      fixture.detectChanges();
+      const item = fixture.componentInstance.dragItems.toArray()[1].element.nativeElement;
+      const itemRect = item.getBoundingClientRect();
+      flush();
+      dispatchMouseEvent(item, 'mousedown', undefined, undefined);
+      fixture.detectChanges();
+
+      const preview = document.querySelector('.cdk-drag-preview')! as HTMLElement;
+      expect(preview).not.toBeNull();
+      const previewRect = preview.getBoundingClientRect();
+      expect(previewRect).not.toBeNull();
+    }));
+
+    it('should snap preview to cursor when snapToCursor is set on preview template', fakeAsync(() => {
+      @Component({
+        styles: `
+      .list {
+        display: flex;
+        width: 100px;
+        flex-direction: row;
+      }
+
+      .item {
+        display: flex;
+        flex-grow: 1;
+        flex-basis: 0;
+        min-height: 50px;
+      }
+    `,
+        template: `
+      <div class="list" cdkDropList>
+        @for (item of items; track item) {
+          <div class="item" cdkDrag>
+            {{item}}
+            <ng-template cdkDragPreview snapToCursor>
+              <div class="item">{{item}}</div>
+            </ng-template>
+          </div>
+        }
+      </div>
+    `,
+        imports: [CdkDropList, CdkDrag, CdkDragPreview],
+      })
+      class DraggableInHorizontalFlexDropZoneWithSnapToCursorPreview {
+        @ViewChild(CdkDropList) dropInstance: CdkDropList;
+        @ViewChildren(CdkDrag) dragItems: QueryList<CdkDrag>;
+        items = ['Zero', 'One', 'Two'];
+      }
+
+      const fixture = createComponent(DraggableInHorizontalFlexDropZoneWithSnapToCursorPreview);
+      fixture.detectChanges();
+      const item = fixture.componentInstance.dragItems.toArray()[1].element.nativeElement;
+      const listRect =
+        fixture.componentInstance.dropInstance.element.nativeElement.getBoundingClientRect();
+
+      startDraggingViaMouse(fixture, item);
+
+      const preview = document.querySelector('.cdk-drag-preview')! as HTMLElement;
+
+      startDraggingViaMouse(fixture, item, listRect.right + 50, listRect.bottom + 50);
+      flush();
+      dispatchMouseEvent(document, 'mousemove', listRect.right + 50, listRect.bottom + 50);
+      fixture.detectChanges();
+
+      const previewRect = preview.getBoundingClientRect();
+
+      // centered on the cursor
+      expect(Math.floor(previewRect.bottom - previewRect.height / 2)).toBe(
+        Math.floor(listRect.bottom + 50),
+      );
+      expect(Math.floor(previewRect.right - previewRect.width / 2)).toBe(
+        Math.floor(listRect.right + 50),
+      );
+    }));
+
     it('should create a preview element while the item is dragged', fakeAsync(() => {
       const fixture = createComponent(DraggableInDropZone);
       fixture.detectChanges();
diff --git a/src/cdk/drag-drop/drag-ref.ts b/src/cdk/drag-drop/drag-ref.ts
index 7296c3f59440..3c49683c8b33 100644
--- a/src/cdk/drag-drop/drag-ref.ts
+++ b/src/cdk/drag-drop/drag-ref.ts
@@ -677,7 +677,7 @@ export class DragRef<T = any> {
   };
 
   /** Handler that is invoked when the user moves their pointer after they've initiated a drag. */
-  private _pointerMove = (event: MouseEvent | TouchEvent) => {
+  private _pointerMove = (event: MouseEvent | TouchEvent, mouseDown: boolean = false) => {
     const pointerPosition = this._getPointerPositionOnPage(event);
 
     if (!this._hasStartedDragging()) {
@@ -711,8 +711,9 @@ export class DragRef<T = any> {
           this._ngZone.run(() => this._startDragSequence(event));
         }
       }
-
-      return;
+      if (!mouseDown) {
+        return;
+      }
     }
 
     // We prevent the default action down here so that we know that dragging has started. This is
@@ -977,6 +978,16 @@ export class DragRef<T = any> {
     this._pointerPositionAtLastDirectionChange = {x: pointerPosition.x, y: pointerPosition.y};
     this._dragStartTime = Date.now();
     this._dragDropRegistry.startDragging(this, event);
+
+    // when pixel threshold = 0 and dragStartDelay = 0 and a preview container/position exists we immediately drag
+    if (
+      (event.type == 'mousedown' || event.type == 'touchstart') &&
+      previewTemplate &&
+      this._config.dragStartThreshold === 0 &&
+      this._getDragStartDelay(event) === 0
+    ) {
+      this._pointerMove(event, true);
+    }
   }
 
   /** Cleans up the DOM artifacts that were added to facilitate the element being dragged. */
@@ -1086,6 +1097,9 @@ export class DragRef<T = any> {
 
       if (this.constrainPosition) {
         this._applyPreviewTransform(x, y);
+      } else if (this._previewTemplate?.snapToCursor) {
+        const previewRect = this._getPreviewRect();
+        this._applyPreviewTransform(rawX - previewRect.width / 2, rawY - previewRect.height / 2);
       } else {
         this._applyPreviewTransform(
           x - this._pickupPositionInElement.x,
diff --git a/src/cdk/drag-drop/preview-ref.ts b/src/cdk/drag-drop/preview-ref.ts
index 7ffab115a7fb..8e65f46132de 100644
--- a/src/cdk/drag-drop/preview-ref.ts
+++ b/src/cdk/drag-drop/preview-ref.ts
@@ -21,6 +21,7 @@ import {getTransformTransitionDurationInMs} from './dom/transition-duration';
 /** Template that can be used to create a drag preview element. */
 export interface DragPreviewTemplate<T = any> {
   matchSize?: boolean;
+  snapToCursor?: boolean;
   template: TemplateRef<T> | null;
   viewContainer: ViewContainerRef;
   context: T;