diff --git a/TEST_STRATEGY.md b/TEST_STRATEGY.md
index 6b88a8c79..d25595cc2 100644
--- a/TEST_STRATEGY.md
+++ b/TEST_STRATEGY.md
@@ -73,6 +73,11 @@ verification 모듈의 수동 QA 시나리오는 `VERIFICATION_TEST_PLAN.md` 를
 - 미검증: 실기기의 갤러리 URI 접근·실서버 사진 반영·이미지 로딩 결과와 글꼴 크기별 점수 정렬.
   실행 조건이 없는 종료·동기화·GPS·Jank·간헐적 오류는 이번 수정 범위에서 제외했다.
 
+### 2026-10-29 무음 동기화 푸시 (#639)
+
+- `RuleUpMessagingServiceTest`: sync 요청 푸시가 알림 없이 catch-up 작업을 예약하는지, 실제 스케줄러를 연결하면 네트워크 조건이 지정된 WorkManager 작업이 등록되는지 검증한다.
+- 실제 FCM 전달과 WorkManager 실행은 실기기 및 서버에서 확인해야 한다.
+
 ### 2026-09-30 TTI Firebase Performance 연동 (#518)
 
 - `ObservabilityTtiShooterTest` 5건: 저장된 전체·구간 시간(0ms 포함), 미완성 기록 제외,
diff --git a/app/src/main/java/com/ruleup/android_ruleup/push/RuleUpMessagingService.kt b/app/src/main/java/com/ruleup/android_ruleup/push/RuleUpMessagingService.kt
index 44d7460fb..7deaae445 100644
--- a/app/src/main/java/com/ruleup/android_ruleup/push/RuleUpMessagingService.kt
+++ b/app/src/main/java/com/ruleup/android_ruleup/push/RuleUpMessagingService.kt
@@ -5,6 +5,7 @@ import com.google.firebase.messaging.RemoteMessage
 import com.ruleup.observability.domain.api.Observability
 import com.ruleup.observability.domain.api.d
 import com.ruleup.observability.domain.api.w
+import com.ruleup.verification.domain.repository.SyncScheduler
 import dagger.hilt.android.AndroidEntryPoint
 import kotlinx.coroutines.CoroutineScope
 import kotlinx.coroutines.Dispatchers
@@ -18,6 +19,7 @@ private const val TAG = "[Push]"
 // 페이로드 명세의 type 딱지.
 private const val TYPE_SETUP_REQUIRED = "SETUP_REQUIRED"
 private const val TYPE_PERMISSION_REQUIRED = "PERMISSION_REQUIRED"
+private const val TYPE_SYNC_REQUIRED = "SYNC_REQUIRED"
 
 /** FCM 수신 진입점. */
 @AndroidEntryPoint
@@ -31,6 +33,9 @@ class RuleUpMessagingService : FirebaseMessagingService() {
     @Inject
     lateinit var notificationPresenter: NotificationPresenter
 
+    @Inject
+    lateinit var syncScheduler: SyncScheduler
+
     private val serviceScope = CoroutineScope(SupervisorJob() + Dispatchers.IO)
 
     override fun onNewToken(token: String) {
@@ -45,6 +50,7 @@ class RuleUpMessagingService : FirebaseMessagingService() {
         when (val type = data["type"]) {
             // 무음 쪽지: 알림 없음.
             TYPE_SETUP_REQUIRED, TYPE_PERMISSION_REQUIRED -> Unit
+            TYPE_SYNC_REQUIRED -> syncScheduler.enqueueCatchUp()
 
             else -> {
                 val push =
diff --git a/app/src/test/java/com/ruleup/android_ruleup/push/RuleUpMessagingServiceTest.kt b/app/src/test/java/com/ruleup/android_ruleup/push/RuleUpMessagingServiceTest.kt
new file mode 100644
index 000000000..68c983098
--- /dev/null
+++ b/app/src/test/java/com/ruleup/android_ruleup/push/RuleUpMessagingServiceTest.kt
@@ -0,0 +1,67 @@
+package com.ruleup.android_ruleup.push
+
+import android.app.Application
+import androidx.work.Configuration
+import androidx.work.NetworkType
+import androidx.work.WorkManager
+import com.google.firebase.messaging.RemoteMessage
+import com.ruleup.observability.domain.test.testObservability
+import com.ruleup.verification.data.sync.VerificationSyncSchedulerImpl
+import com.ruleup.verification.domain.repository.SyncScheduler
+import org.junit.Test
+import org.junit.runner.RunWith
+import org.robolectric.RobolectricTestRunner
+import org.robolectric.RuntimeEnvironment
+import org.robolectric.annotation.Config
+import java.util.concurrent.TimeUnit
+import kotlin.test.assertEquals
+
+@RunWith(RobolectricTestRunner::class)
+@Config(application = Application::class, sdk = [33])
+class RuleUpMessagingServiceTest {
+    @Test
+    fun `sync 요청 푸시를 받으면 네트워크가 연결된 경우 실행할 작업이 등록된다`() {
+        val context = RuntimeEnvironment.getApplication()
+        WorkManager.initialize(context, Configuration.Builder().build())
+        val manager = WorkManager.getInstance(context)
+        val service =
+            RuleUpMessagingService().apply {
+                syncScheduler = VerificationSyncSchedulerImpl(context)
+                observability = testObservability()
+            }
+
+        service.onMessageReceived(RemoteMessage.Builder("test").addData("type", "SYNC_REQUIRED").build())
+
+        val work = manager.getWorkInfosForUniqueWork(VerificationSyncSchedulerImpl.CATCH_UP_WORK_NAME).get(10, TimeUnit.SECONDS).single()
+        assertEquals(NetworkType.CONNECTED, work.constraints.requiredNetworkType)
+    }
+
+    @Test
+    fun `sync 요청 푸시는 알림 없이 catch-up 동기화를 예약한다`() {
+        val scheduler = FakeSyncScheduler()
+        val service =
+            RuleUpMessagingService().apply {
+                syncScheduler = scheduler
+                observability = testObservability()
+            }
+        val message = RemoteMessage.Builder("test").addData("type", "SYNC_REQUIRED").build()
+
+        service.onMessageReceived(message)
+
+        assertEquals(1, scheduler.catchUpCount)
+    }
+
+    private class FakeSyncScheduler : SyncScheduler {
+        var catchUpCount = 0
+
+        override fun enqueueCatchUp() {
+            catchUpCount++
+        }
+
+        override fun cancel() = Unit
+
+        override fun ensureScheduled() = Unit
+
+        override fun reschedule(flushIntervalSec: Int) = Unit
+    }
+}