diff --git a/UNRELEASED.md b/UNRELEASED.md
index fdd01ace6bb..5862f997fe8 100644
--- a/UNRELEASED.md
+++ b/UNRELEASED.md
@@ -8,6 +8,8 @@ Use [the changelog guidelines](https://git.io/polaris-changelog-guidelines) to f
 
 - Added helper hooks `useIndexTableRowHovered`, `useIndexTableRowSelected`, and `useIndexTableContainerScroll` to `IndexTable` ([#4286](https://github.com/Shopify/polaris-react/pull/4286))
 - Added token for slim border radius ([#4573](https://github.com/Shopify/polaris-react/pull/4573))
+- Improves `Popover` component and its animation ([#4580](https://github.com/Shopify/polaris-react/pull/4580))
+- Improves `base` easing curve ([#4580](https://github.com/Shopify/polaris-react/pull/4580))
 
 ### Bug fixes
 
diff --git a/src/components/Popover/Popover.scss b/src/components/Popover/Popover.scss
index 91df01d12ab..acd50dba5bc 100644
--- a/src/components/Popover/Popover.scss
+++ b/src/components/Popover/Popover.scss
@@ -2,8 +2,9 @@
 
 $arrow-size: rem(14px);
 $visible-portion-of-arrow: rem(5px);
-$content-max-height: rem(295px);
+$content-max-height: rem(500px);
 $content-max-width: rem(400px);
+$vertical-motion-offset: rem(-5px);
 
 .Popover {
   max-width: calc(100vw - #{2 * spacing()});
@@ -14,26 +15,30 @@ $content-max-width: rem(400px);
 }
 
 .PopoverOverlay {
-  will-change: opacity;
   opacity: 0;
-  transition: opacity duration() easing(in);
+  transition: opacity duration(fast) easing(), transform duration(fast) easing();
+  transform: translateY($vertical-motion-offset);
 }
 
 .PopoverOverlay-entering {
   opacity: 1;
+  transform: translateY(0);
 }
 
 .PopoverOverlay-open {
   opacity: 1;
+  transform: translateY(0);
 }
 
 .PopoverOverlay-exiting {
-  opacity: 0;
-  transition-timing-function: easing(out);
+  opacity: 1;
+  transform: translateY(0);
+  transition-duration: 0ms;
 }
 
 .measuring:not(.PopoverOverlay-exiting) {
   opacity: 0;
+  transform: translateY($vertical-motion-offset);
 }
 
 .fullWidth {
diff --git a/src/components/Popover/components/Pane/Pane.tsx b/src/components/Popover/components/Pane/Pane.tsx
index f6c0d2cb70e..d90f4f21f95 100644
--- a/src/components/Popover/components/Pane/Pane.tsx
+++ b/src/components/Popover/components/Pane/Pane.tsx
@@ -32,7 +32,6 @@ export function Pane({
     <div className={className}>{content}</div>
   ) : (
     <Scrollable
-      hint
       shadow
       className={className}
       onScrolledToBottom={onScrolledToBottom}
diff --git a/src/components/Popover/components/PopoverOverlay/PopoverOverlay.tsx b/src/components/Popover/components/PopoverOverlay/PopoverOverlay.tsx
index 1eeaa710f7d..b5df502f0ad 100644
--- a/src/components/Popover/components/PopoverOverlay/PopoverOverlay.tsx
+++ b/src/components/Popover/components/PopoverOverlay/PopoverOverlay.tsx
@@ -1,5 +1,5 @@
 import React, {PureComponent, Children, createRef} from 'react';
-import {durationBase} from '@shopify/polaris-tokens';
+import {durationFast} from '@shopify/polaris-tokens';
 
 import {findFirstFocusableNode} from '../../../../utilities/focus';
 import {ThemeProvider, ThemeProviderProps} from '../../../ThemeProvider';
@@ -102,7 +102,7 @@ export class PopoverOverlay extends PureComponent<PopoverOverlayProps, State> {
         this.clearTransitionTimeout();
         this.enteringTimer = window.setTimeout(() => {
           this.setState({transitionStatus: TransitionStatus.Entered});
-        }, durationBase);
+        }, durationFast);
       });
     }
 
@@ -111,7 +111,7 @@ export class PopoverOverlay extends PureComponent<PopoverOverlayProps, State> {
         this.clearTransitionTimeout();
         this.exitingTimer = window.setTimeout(() => {
           this.setState({transitionStatus: TransitionStatus.Exited});
-        }, durationBase);
+        }, 0);
       });
     }
   }
diff --git a/src/components/PositionedOverlay/PositionedOverlay.tsx b/src/components/PositionedOverlay/PositionedOverlay.tsx
index 12cf5989e32..501757554d3 100644
--- a/src/components/PositionedOverlay/PositionedOverlay.tsx
+++ b/src/components/PositionedOverlay/PositionedOverlay.tsx
@@ -4,7 +4,7 @@ import {classNames} from '../../utilities/css';
 import {getRectForNode, Rect} from '../../utilities/geometry';
 import {EventListener} from '../EventListener';
 import {Scrollable} from '../Scrollable';
-import {layer} from '../shared';
+import {layer, dataPolarisTopBar} from '../shared';
 
 import {
   PreferredPosition,
@@ -239,6 +239,14 @@ export class PositionedOverlay extends PureComponent<
           scrollableContainerRect.height = document.body.scrollHeight;
         }
 
+        let topBarOffset = 0;
+        const topBarElement = scrollableElement.querySelector(
+          `${dataPolarisTopBar.selector}`,
+        );
+        if (topBarElement) {
+          topBarOffset = topBarElement.clientHeight;
+        }
+
         const overlayMargins =
           this.overlay.firstElementChild &&
           this.overlay.firstChild instanceof HTMLElement
@@ -257,6 +265,7 @@ export class PositionedOverlay extends PureComponent<
           containerRect,
           preferredPosition,
           fixed,
+          topBarOffset,
         );
         const horizontalPosition = calculateHorizontalPosition(
           activatorRect,
diff --git a/src/components/PositionedOverlay/utilities/math.ts b/src/components/PositionedOverlay/utilities/math.ts
index 962f101d92b..df4c8ae59be 100644
--- a/src/components/PositionedOverlay/utilities/math.ts
+++ b/src/components/PositionedOverlay/utilities/math.ts
@@ -18,10 +18,11 @@ export function calculateVerticalPosition(
   containerRect: Rect,
   preferredPosition: PreferredPosition,
   fixed: boolean | undefined,
+  topBarOffset = 0,
 ) {
   const activatorTop = activatorRect.top;
   const activatorBottom = activatorTop + activatorRect.height;
-  const spaceAbove = activatorRect.top;
+  const spaceAbove = activatorRect.top - topBarOffset;
   const spaceBelow =
     containerRect.height - activatorRect.top - activatorRect.height;
 
diff --git a/src/styles/foundation/_easing.scss b/src/styles/foundation/_easing.scss
index 36dce19168e..1495bda1831 100644
--- a/src/styles/foundation/_easing.scss
+++ b/src/styles/foundation/_easing.scss
@@ -1,5 +1,5 @@
 $easing-data: (
-  base: cubic-bezier(0.64, 0, 0.35, 1),
+  base: cubic-bezier(0.25, 0.1, 0.25, 1),
   in: cubic-bezier(0.36, 0, 1, 1),
   out: cubic-bezier(0, 0, 0.42, 1),
   excite: cubic-bezier(0.18, 0.67, 0.6, 1.22),