diff --git a/src/components/dialog/Dialog.jsx b/src/components/dialog/Dialog.jsx
index 0835ac5f4..a8fe02673 100644
--- a/src/components/dialog/Dialog.jsx
+++ b/src/components/dialog/Dialog.jsx
@@ -6,6 +6,9 @@ import cx from 'classnames';
 import {useBodyNoScroll} from './useBodyNoScroll';
 import {useFocusTrap} from './useFocusTrap';
 
+// https://github.com/jsdom/jsdom/issues/1781
+const supportsTransitions = window.TransitionEvent !== undefined;
+
 export type DialogPropsType = $ReadOnly<{
   open: boolean,
   children: React.Node,
@@ -78,44 +81,53 @@ function BaseDialog({
    */
   const [deferredOpen, setDeferredOpen] = React.useState<boolean>(false);
 
+  const fireTransitionEndCallbacks = React.useCallback(() => {
+    if (open) {
+      if (onEntryTransitionEnd) {
+        onEntryTransitionEnd();
+      }
+    } else if (onExitTransitionEnd) {
+      onExitTransitionEnd();
+    }
+  }, [open, onEntryTransitionEnd, onExitTransitionEnd]);
+
   React.useEffect(() => {
     setDeferredOpen(open);
-  }, [open]);
 
-  useBodyNoScroll();
-  useFocusTrap({dialogRef: containerRef, overlayRef});
+    if (!supportsTransitions) {
+      fireTransitionEndCallbacks();
+    }
+  }, [open, fireTransitionEndCallbacks]);
 
-  const handleOverlayClick = React.useCallback(
-    (event: SyntheticMouseEvent<HTMLDivElement>) => {
-      if (onDismiss && event.target === event.currentTarget) {
-        onDismiss();
-      }
-    },
-    [onDismiss]
-  );
+  useBodyNoScroll();
+  useFocusTrap({
+    dialogRef: containerRef,
+    overlayRef,
+  });
 
   const handleTransitionEnd = React.useCallback(
     (event: TransitionEvent) => {
       if (
-        event.target !== event.currentTarget ||
-        event.propertyName !== lastTransitionName
+        event.target === event.currentTarget &&
+        event.propertyName === lastTransitionName
       ) {
-        return;
+        fireTransitionEndCallbacks();
       }
+    },
+    [fireTransitionEndCallbacks, lastTransitionName]
+  );
 
-      if (open) {
-        if (onEntryTransitionEnd) {
-          onEntryTransitionEnd();
-        }
-      } else if (onExitTransitionEnd) {
-        onExitTransitionEnd();
+  const handleOverlayClick = React.useCallback(
+    (event: SyntheticMouseEvent<HTMLDivElement>) => {
+      if (onDismiss && event.target === event.currentTarget) {
+        onDismiss();
       }
     },
-    [open, lastTransitionName, onEntryTransitionEnd, onExitTransitionEnd]
+    [onDismiss]
   );
 
   const handleKeyUp = React.useCallback(
-    event => {
+    (event: SyntheticKeyboardEvent<HTMLDivElement>) => {
       if (onDismiss && event.key === 'Escape') {
         onDismiss();
         event.stopPropagation();
@@ -158,7 +170,7 @@ function BaseDialog({
         role="dialog"
         ref={containerRef}
         className={containerClass}
-        onTransitionEnd={handleTransitionEnd}
+        onTransitionEnd={supportsTransitions ? handleTransitionEnd : undefined}
         aria-modal="true"
         aria-labelledby={ariaLabelledBy}
         aria-label={ariaLabel}
diff --git a/src/components/dialog/Dialog.spec.jsx b/src/components/dialog/Dialog.spec.jsx
index b9dc28f87..cfd731316 100644
--- a/src/components/dialog/Dialog.spec.jsx
+++ b/src/components/dialog/Dialog.spec.jsx
@@ -43,7 +43,6 @@ describe('<Dialog>', () => {
 
   it('fires onDismiss callback on Escape key', () => {
     const onDismiss = jest.fn();
-
     const wrapper = mount(
       <Dialog onDismiss={onDismiss} open>
         content text
@@ -68,16 +67,13 @@ describe('<Dialog>', () => {
 
   it('fires onEntryTransitionEnd callback on entry', () => {
     const onEntryTransitionEnd = jest.fn();
-    const wrapper = mount(
+
+    mount(
       <Dialog onEntryTransitionEnd={onEntryTransitionEnd} open>
         content text
       </Dialog>
     );
 
-    wrapper.find('[role="dialog"]').simulate('transitionEnd', {
-      propertyName: 'transform',
-    });
-
     expect(onEntryTransitionEnd).toHaveBeenCalledTimes(1);
   });
 
@@ -90,22 +86,40 @@ describe('<Dialog>', () => {
     );
 
     wrapper.setProps({open: false});
-    wrapper.find('[role="dialog"]').simulate('transitionEnd', {
-      propertyName: 'opacity',
-    });
-
     expect(onExitTransitionEnd).toHaveBeenCalledTimes(1);
   });
 
+  it('does not fire onEntryTransitionEnd callback before open', () => {
+    const onEntryTransitionEnd = jest.fn();
+
+    mount(
+      <Dialog onEntryTransitionEnd={onEntryTransitionEnd} open={false}>
+        content text
+      </Dialog>
+    );
+
+    expect(onEntryTransitionEnd).toHaveBeenCalledTimes(0);
+  });
+
+  it('does not fire onExitTransitionEnd callback before open', () => {
+    const onExitTransitionEnd = jest.fn();
+
+    mount(
+      <Dialog onExitTransitionEnd={onExitTransitionEnd} open={false}>
+        content text
+      </Dialog>
+    );
+
+    expect(onExitTransitionEnd).toHaveBeenCalledTimes(0);
+  });
+
   it('returns null after exit transition', () => {
     const wrapper = mount(<Dialog open>content text</Dialog>);
 
     expect(wrapper.isEmptyRender()).toBe(false);
 
     wrapper.setProps({open: false});
-    wrapper.find('[role="dialog"]').simulate('transitionEnd', {
-      propertyName: 'opacity',
-    });
+    wrapper.update();
 
     expect(wrapper.isEmptyRender()).toBe(true);
   });