diff --git a/docs/pages/api/tooltip.md b/docs/pages/api/tooltip.md
index 7b812201c194f8..32a820145ba3f1 100644
--- a/docs/pages/api/tooltip.md
+++ b/docs/pages/api/tooltip.md
@@ -30,7 +30,8 @@ You can learn more about the difference by [reading this guide](/guides/minimizi
 | <span class="prop-name">disableFocusListener</span> | <span class="prop-type">bool</span> | <span class="prop-default">false</span> | Do not respond to focus events. |
 | <span class="prop-name">disableHoverListener</span> | <span class="prop-type">bool</span> | <span class="prop-default">false</span> | Do not respond to hover events. |
 | <span class="prop-name">disableTouchListener</span> | <span class="prop-type">bool</span> | <span class="prop-default">false</span> | Do not respond to long press touch events. |
-| <span class="prop-name">enterDelay</span> | <span class="prop-type">number</span> | <span class="prop-default">0</span> | The number of milliseconds to wait before showing the tooltip. This prop won't impact the enter touch delay (`enterTouchDelay`). |
+| <span class="prop-name">enterDelay</span> | <span class="prop-type">number</span> | <span class="prop-default">200</span> | The number of milliseconds to wait before showing the tooltip. This prop won't impact the enter touch delay (`enterTouchDelay`). |
+| <span class="prop-name">enterNextDelay</span> | <span class="prop-type">number</span> | <span class="prop-default">0</span> | The number of milliseconds to wait before showing the tooltip when one was already recently opened. |
 | <span class="prop-name">enterTouchDelay</span> | <span class="prop-type">number</span> | <span class="prop-default">700</span> | The number of milliseconds a user must touch the element before showing the tooltip. |
 | <span class="prop-name">id</span> | <span class="prop-type">string</span> |  | This prop is used to help implement the accessibility logic. If you don't provide this prop. It falls back to a randomly generated id. |
 | <span class="prop-name">interactive</span> | <span class="prop-type">bool</span> | <span class="prop-default">false</span> | Makes a tooltip interactive, i.e. will not close when the user hovers over the tooltip before the `leaveDelay` is expired. |
diff --git a/packages/material-ui/src/Tooltip/Tooltip.d.ts b/packages/material-ui/src/Tooltip/Tooltip.d.ts
index 539c058c5f1414..201d5728f71990 100644
--- a/packages/material-ui/src/Tooltip/Tooltip.d.ts
+++ b/packages/material-ui/src/Tooltip/Tooltip.d.ts
@@ -11,6 +11,7 @@ export interface TooltipProps
   disableHoverListener?: boolean;
   disableTouchListener?: boolean;
   enterDelay?: number;
+  enterNextDelay?: number;
   enterTouchDelay?: number;
   id?: string;
   interactive?: boolean;
diff --git a/packages/material-ui/src/Tooltip/Tooltip.js b/packages/material-ui/src/Tooltip/Tooltip.js
index ff299f448a9a05..1357e69a9ee7f4 100644
--- a/packages/material-ui/src/Tooltip/Tooltip.js
+++ b/packages/material-ui/src/Tooltip/Tooltip.js
@@ -183,7 +183,8 @@ const Tooltip = React.forwardRef(function Tooltip(props, ref) {
     disableFocusListener = false,
     disableHoverListener = false,
     disableTouchListener = false,
-    enterDelay = 0,
+    enterDelay = 200,
+    enterNextDelay = 0,
     enterTouchDelay = 700,
     id: idProp,
     interactive = false,
@@ -303,11 +304,14 @@ const Tooltip = React.forwardRef(function Tooltip(props, ref) {
 
     clearTimeout(enterTimer.current);
     clearTimeout(leaveTimer.current);
-    if (enterDelay && !hystersisOpen) {
+    if (enterDelay || (hystersisOpen && enterNextDelay)) {
       event.persist();
-      enterTimer.current = setTimeout(() => {
-        handleOpen(event);
-      }, enterDelay);
+      enterTimer.current = setTimeout(
+        () => {
+          handleOpen(event);
+        },
+        hystersisOpen ? enterNextDelay : enterDelay,
+      );
     } else {
       handleOpen(event);
     }
@@ -345,9 +349,7 @@ const Tooltip = React.forwardRef(function Tooltip(props, ref) {
     clearTimeout(hystersisTimer);
     hystersisTimer = setTimeout(() => {
       hystersisOpen = false;
-    }, 500);
-    // Use 500 ms per https://github.com/reach/reach-ui/blob/3b5319027d763a3082880be887d7a29aee7d3afc/packages/tooltip/src/index.js#L214
-
+    }, 800 + leaveDelay);
     setOpenState(false);
 
     if (onClose) {
@@ -569,6 +571,10 @@ Tooltip.propTypes = {
    * This prop won't impact the enter touch delay (`enterTouchDelay`).
    */
   enterDelay: PropTypes.number,
+  /**
+   * The number of milliseconds to wait before showing the tooltip when one was already recently opened.
+   */
+  enterNextDelay: PropTypes.number,
   /**
    * The number of milliseconds a user must touch the element before showing the tooltip.
    */
diff --git a/packages/material-ui/src/Tooltip/Tooltip.test.js b/packages/material-ui/src/Tooltip/Tooltip.test.js
index ee89abcbd5aaf6..0f7e51c096f594 100644
--- a/packages/material-ui/src/Tooltip/Tooltip.test.js
+++ b/packages/material-ui/src/Tooltip/Tooltip.test.js
@@ -36,6 +36,7 @@ describe('<Tooltip />', () => {
   const render = createClientRender({ strict: false });
   let clock;
   const defaultProps = {
+    enterDelay: 0,
     children: (
       <button id="testChild" type="submit">
         Hello World
@@ -186,7 +187,7 @@ describe('<Tooltip />', () => {
       const AutoFocus = props => (
         <div>
           {props.open ? (
-            <Tooltip title="Title">
+            <Tooltip {...defaultProps} title="Title">
               <Input value="value" autoFocus />
             </Tooltip>
           ) : null}
@@ -222,6 +223,7 @@ describe('<Tooltip />', () => {
         <Tooltip
           {...defaultProps}
           enterDelay={111}
+          enterNextDelay={30}
           leaveDelay={5}
           TransitionProps={{ timeout: 6 }}
         />,
@@ -237,7 +239,9 @@ describe('<Tooltip />', () => {
       expect(document.body.querySelectorAll('[role="tooltip"]').length).to.equal(0);
 
       focusVisible(children);
-      // Bypass `enterDelay` wait, instant display.
+      // Bypass `enterDelay` wait, use `enterNextDelay`.
+      expect(document.body.querySelectorAll('[role="tooltip"]').length).to.equal(0);
+      clock.tick(30);
       expect(document.body.querySelectorAll('[role="tooltip"]').length).to.equal(1);
     });
 
@@ -351,7 +355,7 @@ describe('<Tooltip />', () => {
   describe('prop: interactive', () => {
     it('should keep the overlay open if the popper element is hovered', () => {
       const wrapper = mount(
-        <Tooltip title="Hello World" interactive leaveDelay={111}>
+        <Tooltip {...defaultProps} title="Hello World" interactive leaveDelay={111}>
           <button id="testChild" type="submit">
             Hello World
           </button>