diff --git a/change/@fluentui-react-e175b02f-9a97-4775-81a2-30f594f3ae69.json b/change/@fluentui-react-e175b02f-9a97-4775-81a2-30f594f3ae69.json
new file mode 100644
index 00000000000000..6f9ac9fcda5526
--- /dev/null
+++ b/change/@fluentui-react-e175b02f-9a97-4775-81a2-30f594f3ae69.json
@@ -0,0 +1,7 @@
+{
+  "type": "patch",
+  "comment": "Prevent tooltip from showing on tab switch for the focused element",
+  "packageName": "@fluentui/react",
+  "email": "behowell@microsoft.com",
+  "dependentChangeType": "patch"
+}
diff --git a/packages/react/src/components/Tooltip/TooltipHost.base.tsx b/packages/react/src/components/Tooltip/TooltipHost.base.tsx
index 182c93583324a2..6432ba46cf6be8 100644
--- a/packages/react/src/components/Tooltip/TooltipHost.base.tsx
+++ b/packages/react/src/components/Tooltip/TooltipHost.base.tsx
@@ -44,6 +44,7 @@ export class TooltipHostBase extends React.Component<ITooltipHostProps, ITooltip
   private _dismissTimerId: number;
   private _openTimerId: number;
   private _defaultTooltipId = getId('tooltip');
+  private _ignoreNextFocusEvent: boolean;
 
   // Constructor
   constructor(props: ITooltipHostProps) {
@@ -93,8 +94,8 @@ export class TooltipHostBase extends React.Component<ITooltipHostProps, ITooltip
       <div
         className={this._classNames.root}
         ref={this._tooltipHost}
-        {...{ onFocusCapture: this._onTooltipMouseEnter }}
-        {...{ onBlurCapture: this._hideTooltip }}
+        {...{ onFocusCapture: this._onTooltipFocus }}
+        {...{ onBlurCapture: this._onTooltipBlur }}
         onMouseEnter={this._onTooltipMouseEnter}
         onMouseLeave={this._onTooltipMouseLeave}
         onKeyDown={this._onTooltipKeyDown}
@@ -166,6 +167,27 @@ export class TooltipHostBase extends React.Component<ITooltipHostProps, ITooltip
     return this._tooltipHost.current;
   };
 
+  private _onTooltipFocus = (ev: React.FocusEvent<HTMLElement>) => {
+    if (this._ignoreNextFocusEvent) {
+      this._ignoreNextFocusEvent = false;
+      return;
+    }
+
+    this._onTooltipMouseEnter(ev);
+  };
+
+  private _onTooltipBlur = (ev: React.FocusEvent<HTMLElement>) => {
+    // The focused element gets a blur event when the document loses focus
+    // (e.g. switching tabs in the browser), but we don't want to show the
+    // tooltip again when the document gets focus back. Handle this case by
+    // checking if the blurred element is still the document's activeElement,
+    // and ignoring when it next gets focus back.
+    // See https://github.com/microsoft/fluentui/issues/13541
+    this._ignoreNextFocusEvent = document?.activeElement === ev.target;
+
+    this._hideTooltip();
+  };
+
   // Show Tooltip
   private _onTooltipMouseEnter = (ev: any): void => {
     const { overflowMode, delay } = this.props;