diff --git a/.changeset/every-balloons-open.md b/.changeset/every-balloons-open.md
new file mode 100644
index 0000000000..064ed11338
--- /dev/null
+++ b/.changeset/every-balloons-open.md
@@ -0,0 +1,5 @@
+---
+"@digdir/designsystemet-web": patch
+---
+
+**tooltip**: Fixes a bug where tooltip would reappear on mousedown outside trigger
diff --git a/packages/web/src/tooltip/tooltip.test.ts b/packages/web/src/tooltip/tooltip.test.ts
index 2350c90ac2..9f1c77c154 100644
--- a/packages/web/src/tooltip/tooltip.test.ts
+++ b/packages/web/src/tooltip/tooltip.test.ts
@@ -96,6 +96,62 @@ describe('tooltip behavior', () => {
     expect(tip.hidePopover).toHaveBeenCalledTimes(1);
   });
 
+  it('hides tooltip on blur when focus leaves to a non-tooltip element', async () => {
+    const tip = document.createElement('div');
+    tip.showPopover = vi.fn();
+    tip.hidePopover = vi.fn();
+    setTooltipElement(tip);
+
+    document.body.innerHTML = `<button data-tooltip="Info">Info</button>`;
+
+    const button = document.querySelector('button') as HTMLButtonElement;
+    button.dispatchEvent(new FocusEvent('focus'));
+    expect(tip.showPopover).toHaveBeenCalledTimes(1);
+
+    button.dispatchEvent(new FocusEvent('blur'));
+    expect(tip.hidePopover).toHaveBeenCalledTimes(1);
+    expect(tip.showPopover).toHaveBeenCalledTimes(1); // Must not reshow on blur
+  });
+
+  it('does not reshow tooltip on blur (regression #4801)', async () => {
+    const tip = document.createElement('div');
+    tip.showPopover = vi.fn();
+    tip.hidePopover = vi.fn();
+    setTooltipElement(tip);
+
+    document.body.innerHTML = `<button data-tooltip="Info">Info</button>`;
+
+    const button = document.querySelector('button') as HTMLButtonElement;
+    button.dispatchEvent(new FocusEvent('focus'));
+    expect(tip.showPopover).toHaveBeenCalledTimes(1);
+
+    // Reset internal source by hiding (mimics moving mouse away/closing)
+    setTooltipElement(tip);
+
+    // Blurring the still-focused button (e.g. clicking elsewhere) must not reshow
+    button.dispatchEvent(new FocusEvent('blur'));
+    expect(tip.showPopover).toHaveBeenCalledTimes(1);
+  });
+
+  it('does not reshow the previous tooltip when blurring to another tooltip trigger', async () => {
+    const tip = document.createElement('div');
+    tip.showPopover = vi.fn();
+    tip.hidePopover = vi.fn();
+    setTooltipElement(tip);
+
+    document.body.innerHTML = `<button id="a" data-tooltip="A">A</button><button id="b" data-tooltip="B">B</button>`;
+
+    const a = document.querySelector('#a') as HTMLButtonElement;
+    const b = document.querySelector('#b') as HTMLButtonElement;
+    a.dispatchEvent(new FocusEvent('focus'));
+    expect(tip.showPopover).toHaveBeenCalledTimes(1);
+
+    // Focus moves to another tooltip trigger: blur must not hide nor reshow
+    a.dispatchEvent(new FocusEvent('blur', { relatedTarget: b }));
+    expect(tip.hidePopover).not.toHaveBeenCalled();
+    expect(tip.showPopover).toHaveBeenCalledTimes(1);
+  });
+
   it('updates tooltip text and announces when data-tooltip changes programmatically', async () => {
     const tip = document.createElement('div');
     setTooltipElement(tip);
diff --git a/packages/web/src/tooltip/tooltip.ts b/packages/web/src/tooltip/tooltip.ts
index 3e03b5eaf3..df7d6184b9 100644
--- a/packages/web/src/tooltip/tooltip.ts
+++ b/packages/web/src/tooltip/tooltip.ts
@@ -69,16 +69,26 @@ const handleAriaAttributes = () => {
   }
 };
 
-const handleInterest = ({ type, target }: Event) => {
+const handleInterest = (event: Event) => {
+  const { type, target } = event;
   clearTimeout(HOVER_TIMER);
 
   if (target === TIP) return; // Allow tooltip to be hovered, following https://www.w3.org/TR/WCAG21/#content-on-hover-or-focus
+
+  const source = (target as Element)?.closest?.(SELECTOR_TOOLTIP);
+
+  // This prevents the tooltip from reappearing on mousedown/click
+  if (type === 'blur') {
+    const next = (event as FocusEvent).relatedTarget as Element | null;
+    if (source === SOURCE && !next?.closest?.(SELECTOR_TOOLTIP)) hideTooltip();
+    return;
+  }
+
   if (type === 'mouseover' && !IS_HOVERING && !IS_IOS) {
     HOVER_TIMER = setTimeout(handleInterest, DELAY_HOVER, { target }); // Delay mouse showing tooltip if not already shown
     return;
   }
 
-  const source = (target as Element)?.closest?.(`[${ATTR_TOOLTIP}]`);
   if (source === SOURCE) return; // No need to update
   if (!source) return hideTooltip(); // If no new anchor, cleanup previous autoUpdate
   if (!TIP) TIP = tag('div', { class: 'ds-tooltip' });