diff --git a/change/@fluentui-react-infobutton-e6d4cef7-a090-4513-ac13-c1754d642d63.json b/change/@fluentui-react-infobutton-e6d4cef7-a090-4513-ac13-c1754d642d63.json
new file mode 100644
index 00000000000000..4a6f683a2620d4
--- /dev/null
+++ b/change/@fluentui-react-infobutton-e6d4cef7-a090-4513-ac13-c1754d642d63.json
@@ -0,0 +1,7 @@
+{
+  "type": "prerelease",
+  "comment": "fix: Popover should close when tabbing out of the surface.",
+  "packageName": "@fluentui/react-infobutton",
+  "email": "esteban.230@hotmail.com",
+  "dependentChangeType": "patch"
+}
diff --git a/packages/react-components/react-infobutton/cypress.config.ts b/packages/react-components/react-infobutton/cypress.config.ts
new file mode 100644
index 00000000000000..ca52cf041bbf2c
--- /dev/null
+++ b/packages/react-components/react-infobutton/cypress.config.ts
@@ -0,0 +1,3 @@
+import { baseConfig } from '@fluentui/scripts-cypress';
+
+export default baseConfig;
diff --git a/packages/react-components/react-infobutton/package.json b/packages/react-components/react-infobutton/package.json
index 8881653f0dfd08..47c0058cc63ac2 100644
--- a/packages/react-components/react-infobutton/package.json
+++ b/packages/react-components/react-infobutton/package.json
@@ -23,6 +23,8 @@
     "type-check": "tsc -b tsconfig.json",
     "storybook": "start-storybook",
     "start": "yarn storybook",
+    "e2e": "cypress run --component",
+    "e2e:local": "cypress open --component",
     "test-ssr": "test-ssr \"./stories/**/*.stories.tsx\""
   },
   "devDependencies": {
@@ -36,6 +38,7 @@
     "@fluentui/react-icons": "^2.0.207",
     "@fluentui/react-label": "^9.1.33",
     "@fluentui/react-popover": "^9.8.3",
+    "@fluentui/react-portal": "^9.3.13",
     "@fluentui/react-tabster": "^9.12.8",
     "@fluentui/react-theme": "^9.1.12",
     "@fluentui/react-utilities": "^9.13.3",
diff --git a/packages/react-components/react-infobutton/src/components/InfoButton/useInfoButton.tsx b/packages/react-components/react-infobutton/src/components/InfoButton/useInfoButton.tsx
index 8388065c67bafe..26839e39f0cada 100644
--- a/packages/react-components/react-infobutton/src/components/InfoButton/useInfoButton.tsx
+++ b/packages/react-components/react-infobutton/src/components/InfoButton/useInfoButton.tsx
@@ -1,6 +1,14 @@
 import * as React from 'react';
 import { DefaultInfoButtonIcon12, DefaultInfoButtonIcon16, DefaultInfoButtonIcon20 } from './DefaultInfoButtonIcons';
-import { getNativeElementProps, mergeCallbacks, useControllableState, slot } from '@fluentui/react-utilities';
+import {
+  getNativeElementProps,
+  mergeCallbacks,
+  useControllableState,
+  slot,
+  useMergedRefs,
+  isHTMLElement,
+} from '@fluentui/react-utilities';
+import { elementContains } from '@fluentui/react-portal';
 import { Popover, PopoverSurface } from '@fluentui/react-popover';
 import type { InfoButtonProps, InfoButtonState } from './InfoButton.types';
 import type { PopoverProps } from '@fluentui/react-popover';
@@ -76,5 +84,24 @@ export const useInfoButton_unstable = (props: InfoButtonProps, ref: React.Ref<HT
   state.popover.open = popoverOpen;
   state.popover.onOpenChange = mergeCallbacks(state.popover.onOpenChange, (e, data) => setPopoverOpen(data.open));
 
+  const focusOutRef = React.useCallback(
+    (el: HTMLDivElement) => {
+      if (!el) {
+        return;
+      }
+
+      el.addEventListener('focusout', e => {
+        const nextFocused = e.relatedTarget;
+
+        if (isHTMLElement(nextFocused) && !elementContains(el, nextFocused)) {
+          setPopoverOpen(false);
+        }
+      });
+    },
+    [setPopoverOpen],
+  );
+
+  state.info.ref = useMergedRefs(state.info.ref, focusOutRef);
+
   return state;
 };
diff --git a/packages/react-components/react-infobutton/src/components/InfoLabel/InfoLabel.cy.tsx b/packages/react-components/react-infobutton/src/components/InfoLabel/InfoLabel.cy.tsx
new file mode 100644
index 00000000000000..f251f54f816da6
--- /dev/null
+++ b/packages/react-components/react-infobutton/src/components/InfoLabel/InfoLabel.cy.tsx
@@ -0,0 +1,82 @@
+/// <reference types="cypress-real-events" />
+
+import * as React from 'react';
+import { mount as mountBase } from '@cypress/react';
+import { FluentProvider } from '@fluentui/react-provider';
+import { teamsLightTheme } from '@fluentui/react-theme';
+import { InfoLabel } from '@fluentui/react-infobutton';
+
+const mount = (element: JSX.Element) => {
+  mountBase(<FluentProvider theme={teamsLightTheme}>{element}</FluentProvider>);
+};
+
+const surfaceSelector = '[role="note"]';
+
+describe('InfoLabel - close on tab-out', () => {
+  const openInfoButton = () => {
+    cy.get('button').focus().realPress('{enter}');
+  };
+
+  it('no focusable elements', () => {
+    mount(<InfoLabel label="InfoLabel's label" info="Example non-focusable info" />);
+
+    openInfoButton();
+    cy.realPress(['Shift', 'Tab']).get(surfaceSelector).should('not.exist');
+    openInfoButton();
+    cy.realPress('Tab').get(surfaceSelector).should('not.exist');
+  });
+
+  it('single focusable element', () => {
+    mount(
+      <InfoLabel
+        label="InfoLabel's label"
+        info={
+          <>
+            Example non-focusable info
+            <button>one</button>
+          </>
+        }
+      />,
+    );
+
+    openInfoButton();
+    cy.realPress(['Shift', 'Tab']).get(surfaceSelector).should('not.exist');
+    openInfoButton();
+    // moving into the focusable item
+    cy.realPress('Tab').get(surfaceSelector).should('exist');
+    // tabbing out with shift + tab from the first focusable item should close the surface since
+    // the surface is only focusable programmatically
+    cy.realPress(['Shift', 'Tab']).get(surfaceSelector).should('not.exist');
+    openInfoButton();
+    cy.realPress('Tab').realPress('Tab').get(surfaceSelector).should('not.exist');
+  });
+
+  it('one or more focusable elements', () => {
+    mount(
+      <InfoLabel
+        label="InfoLabel's label"
+        info={
+          <>
+            Example non-focusable info
+            <button>one</button>
+            <button>two</button>
+            <button>three</button>
+          </>
+        }
+      />,
+    );
+
+    openInfoButton();
+    cy.realPress(['Shift', 'Tab']).get(surfaceSelector).should('not.exist');
+    openInfoButton();
+    // moving into the focusable item
+    cy.realPress('Tab').get(surfaceSelector).should('exist');
+    // tabbing out with shift + tab from the first focusable item should close the surface since
+    // the surface is only focusable programmatically
+    cy.realPress(['Shift', 'Tab']).get(surfaceSelector).should('not.exist');
+    openInfoButton();
+    // checking that event does not propagate to children
+    cy.realPress('Tab').realPress('Tab').realPress(['Shift', 'Tab']).get(surfaceSelector).should('exist');
+    cy.realPress('Tab').realPress('Tab').realPress('Tab').get(surfaceSelector).should('not.exist');
+  });
+});
diff --git a/packages/react-components/react-infobutton/tsconfig.cy.json b/packages/react-components/react-infobutton/tsconfig.cy.json
new file mode 100644
index 00000000000000..93a140885851da
--- /dev/null
+++ b/packages/react-components/react-infobutton/tsconfig.cy.json
@@ -0,0 +1,9 @@
+{
+  "extends": "./tsconfig.json",
+  "compilerOptions": {
+    "isolatedModules": false,
+    "types": ["node", "cypress", "cypress-storybook/cypress", "cypress-real-events"],
+    "lib": ["ES2019", "dom"]
+  },
+  "include": ["**/*.cy.ts", "**/*.cy.tsx"]
+}
diff --git a/packages/react-components/react-infobutton/tsconfig.json b/packages/react-components/react-infobutton/tsconfig.json
index 1941a041d46c19..1317f81620ca5e 100644
--- a/packages/react-components/react-infobutton/tsconfig.json
+++ b/packages/react-components/react-infobutton/tsconfig.json
@@ -20,6 +20,9 @@
     },
     {
       "path": "./.storybook/tsconfig.json"
+    },
+    {
+      "path": "./tsconfig.cy.json"
     }
   ]
 }