diff --git a/.github/scripts/memory-stability-util.test.mts b/.github/scripts/memory-stability-util.test.mts
new file mode 100644
index 0000000000..70bbb3924b
--- /dev/null
+++ b/.github/scripts/memory-stability-util.test.mts
@@ -0,0 +1,110 @@
+/*
+ * SPDX-FileCopyrightText: syuilo and misskey-project
+ * SPDX-License-Identifier: AGPL-3.0-only
+ */
+
+import assert from 'node:assert/strict';
+import test from 'node:test';
+import { measureMemoryUntilStable } from './memory-stability-util.mts';
+
+function createTimer() {
+	let elapsedMs = 0;
+
+	return {
+		now: () => elapsedMs,
+		wait: async (durationMs: number) => {
+			elapsedMs += durationMs;
+		},
+	};
+}
+
+async function measure(readings: Record<string, number>[]) {
+	let readCount = 0;
+	const result = await measureMemoryUntilStable(
+		async () => readings[readCount++],
+		createTimer(),
+	);
+	return { result, readCount };
+}
+
+test('adopts the latest reading once Pss and Private_Dirty slopes converge', async () => {
+	const readings = [
+		{ Pss: 1000, Private_Dirty: 500, HeapUsed: 300 },
+		{ Pss: 1100, Private_Dirty: 520, HeapUsed: 310 },
+		{ Pss: 1200, Private_Dirty: 540, HeapUsed: 320 },
+	];
+	const { result, readCount } = await measure(readings);
+
+	assert.equal(readCount, 3);
+	assert.deepEqual(result.memoryUsage, readings[2]);
+	assert.deepEqual(result.stability, {
+		converged: true,
+		readingCount: 3,
+		elapsedMs: 4000,
+		maxAbsoluteSlopesKiBPerSecond: {
+			Pss: 50,
+			Private_Dirty: 10,
+		},
+	});
+});
+
+test('uses only the latest readings when determining convergence', async () => {
+	const readings = [
+		{ Pss: 1000, Private_Dirty: 500 },
+		{ Pss: 2000, Private_Dirty: 1000 },
+		{ Pss: 3000, Private_Dirty: 1500 },
+		{ Pss: 3040, Private_Dirty: 1520 },
+		{ Pss: 3080, Private_Dirty: 1540 },
+	];
+	const { result, readCount } = await measure(readings);
+
+	assert.equal(readCount, 5);
+	assert.equal(result.stability.converged, true);
+	assert.deepEqual(result.stability.maxAbsoluteSlopesKiBPerSecond, {
+		Pss: 20,
+		Private_Dirty: 10,
+	});
+});
+
+test('bounds the wait and reports the latest slopes when memory does not converge', async () => {
+	const readings = [
+		{ Pss: 1000, Private_Dirty: 500 },
+		{ Pss: 1600, Private_Dirty: 520 },
+		{ Pss: 2200, Private_Dirty: 540 },
+		{ Pss: 2800, Private_Dirty: 560 },
+		{ Pss: 3400, Private_Dirty: 580 },
+		{ Pss: 4000, Private_Dirty: 600 },
+	];
+	const { result, readCount } = await measure(readings);
+
+	assert.equal(readCount, 6);
+	assert.deepEqual(result.memoryUsage, readings[5]);
+	assert.deepEqual(result.stability, {
+		converged: false,
+		readingCount: 6,
+		elapsedMs: 10000,
+		maxAbsoluteSlopesKiBPerSecond: {
+			Pss: 300,
+			Private_Dirty: 10,
+		},
+	});
+});
+
+test('does not treat opposing adjacent slopes as convergence', async () => {
+	const readings = [
+		{ Pss: 1000, Private_Dirty: 500 },
+		{ Pss: 1600, Private_Dirty: 500 },
+		{ Pss: 1000, Private_Dirty: 500 },
+		{ Pss: 1600, Private_Dirty: 500 },
+		{ Pss: 1000, Private_Dirty: 500 },
+		{ Pss: 1600, Private_Dirty: 500 },
+	];
+	const { result, readCount } = await measure(readings);
+
+	assert.equal(readCount, 6);
+	assert.equal(result.stability.converged, false);
+	assert.deepEqual(result.stability.maxAbsoluteSlopesKiBPerSecond, {
+		Pss: 300,
+		Private_Dirty: 0,
+	});
+});
diff --git a/.github/workflows/lint.yml b/.github/workflows/lint.yml
index c8e24fb19b..63f8684c33 100644
--- a/.github/workflows/lint.yml
+++ b/.github/workflows/lint.yml
@@ -151,3 +151,4 @@ jobs:
       with:
         node-version-file: '.node-version'
     - run: node --test .github/scripts/frontend-js-size.test.mts
+    - run: node --test .github/scripts/memory-stability-util.test.mts