Index: lib/scudo/scudo_allocator.cpp
===================================================================
--- lib/scudo/scudo_allocator.cpp
+++ lib/scudo/scudo_allocator.cpp
@@ -388,9 +388,11 @@
     if (PrimaryAllocator::CanAllocate(AlignedSize, MinAlignment)) {
       BackendSize = AlignedSize;
       ClassId = SizeClassMap::ClassID(BackendSize);
-      ScudoTSD *TSD = getTSDAndLock();
+      bool UnlockRequired;
+      ScudoTSD *TSD = getTSDAndLock(&UnlockRequired);
       BackendPtr = BackendAllocator.allocatePrimary(&TSD->Cache, ClassId);
-      TSD->unlock();
+      if (UnlockRequired)
+        TSD->unlock();
     } else {
       BackendSize = NeededSize;
       ClassId = 0;
@@ -447,10 +449,12 @@
       Chunk::eraseHeader(Ptr);
       void *BackendPtr = Chunk::getBackendPtr(Ptr, Header);
       if (Header->ClassId) {
-        ScudoTSD *TSD = getTSDAndLock();
+        bool UnlockRequired;
+        ScudoTSD *TSD = getTSDAndLock(&UnlockRequired);
         getBackendAllocator().deallocatePrimary(&TSD->Cache, BackendPtr,
                                                 Header->ClassId);
-        TSD->unlock();
+        if (UnlockRequired)
+          TSD->unlock();
       } else {
         getBackendAllocator().deallocateSecondary(BackendPtr);
       }
@@ -464,11 +468,13 @@
       UnpackedHeader NewHeader = *Header;
       NewHeader.State = ChunkQuarantine;
       Chunk::compareExchangeHeader(Ptr, &NewHeader, Header);
-      ScudoTSD *TSD = getTSDAndLock();
+      bool UnlockRequired;
+      ScudoTSD *TSD = getTSDAndLock(&UnlockRequired);
       AllocatorQuarantine.Put(getQuarantineCache(TSD),
                               QuarantineCallback(&TSD->Cache), Ptr,
                               EstimatedSize);
-      TSD->unlock();
+      if (UnlockRequired)
+        TSD->unlock();
     }
   }
 
@@ -612,8 +618,7 @@
   Instance.init();
 }
 
-void ScudoTSD::init(bool Shared) {
-  UnlockRequired = Shared;
+void ScudoTSD::init() {
   getBackendAllocator().initCache(&Cache);
   memset(QuarantineCachePlaceHolder, 0, sizeof(QuarantineCachePlaceHolder));
 }
Index: lib/scudo/scudo_tsd.h
===================================================================
--- lib/scudo/scudo_tsd.h
+++ lib/scudo/scudo_tsd.h
@@ -23,11 +23,11 @@
 
 namespace __scudo {
 
-struct ALIGNED(64) ScudoTSD {
+struct ALIGNED(SANITIZER_CACHE_LINE_SIZE) ScudoTSD {
   AllocatorCache Cache;
   uptr QuarantineCachePlaceHolder[4];
 
-  void init(bool Shared);
+  void init();
   void commitBack();
 
   INLINE bool tryLock() {
@@ -36,29 +36,23 @@
       return true;
     }
     if (atomic_load_relaxed(&Precedence) == 0)
-      atomic_store_relaxed(&Precedence, MonotonicNanoTime());
+      atomic_store_relaxed(&Precedence, static_cast<uptr>(
+          MonotonicNanoTime() >> FIRST_32_SECOND_64(16, 0)));
     return false;
   }
 
   INLINE void lock() {
-    Mutex.Lock();
     atomic_store_relaxed(&Precedence, 0);
+    Mutex.Lock();
   }
 
-  INLINE void unlock() {
-    if (!UnlockRequired)
-      return;
-    Mutex.Unlock();
-  }
+  INLINE void unlock() { Mutex.Unlock(); }
 
-  INLINE u64 getPrecedence() {
-    return atomic_load_relaxed(&Precedence);
-  }
+  INLINE uptr getPrecedence() { return atomic_load_relaxed(&Precedence); }
 
  private:
-  bool UnlockRequired;
   StaticSpinMutex Mutex;
-  atomic_uint64_t Precedence;
+  atomic_uintptr_t Precedence;
 };
 
 void initThread(bool MinimalInit);
Index: lib/scudo/scudo_tsd_exclusive.cpp
===================================================================
--- lib/scudo/scudo_tsd_exclusive.cpp
+++ lib/scudo/scudo_tsd_exclusive.cpp
@@ -50,7 +50,7 @@
 static void initOnce() {
   CHECK_EQ(pthread_key_create(&PThreadKey, teardownThread), 0);
   initScudo();
-  FallbackTSD.init(/*Shared=*/true);
+  FallbackTSD.init();
 }
 
 void initThread(bool MinimalInit) {
@@ -59,7 +59,7 @@
     return;
   CHECK_EQ(pthread_setspecific(PThreadKey, reinterpret_cast<void *>(
       GetPthreadDestructorIterations())), 0);
-  TSD.init(/*Shared=*/false);
+  TSD.init();
   ScudoThreadState = ThreadInitialized;
 }
 
Index: lib/scudo/scudo_tsd_exclusive.inc
===================================================================
--- lib/scudo/scudo_tsd_exclusive.inc
+++ lib/scudo/scudo_tsd_exclusive.inc
@@ -35,11 +35,13 @@
   initThread(MinimalInit);
 }
 
-ALWAYS_INLINE ScudoTSD *getTSDAndLock() {
+ALWAYS_INLINE ScudoTSD *getTSDAndLock(bool *UnlockRequired) {
   if (UNLIKELY(ScudoThreadState != ThreadInitialized)) {
     FallbackTSD.lock();
+    *UnlockRequired = true;
     return &FallbackTSD;
   }
+  *UnlockRequired = false;
   return &TSD;
 }
 
Index: lib/scudo/scudo_tsd_shared.cpp
===================================================================
--- lib/scudo/scudo_tsd_shared.cpp
+++ lib/scudo/scudo_tsd_shared.cpp
@@ -23,6 +23,13 @@
 static atomic_uint32_t CurrentIndex;
 static ScudoTSD *TSDs;
 static u32 NumberOfTSDs;
+static u32 CoPrimes[SCUDO_SHARED_TSD_POOL_SIZE];
+static u32 NumberOfCoPrimes = 0;
+
+#if SANITIZER_LINUX && !SANITIZER_ANDROID
+__attribute__((tls_model("initial-exec")))
+THREADLOCAL ScudoTSD *CurrentTSD;
+#endif
 
 static void initOnce() {
   CHECK_EQ(pthread_key_create(&PThreadKey, NULL), 0);
@@ -31,13 +38,21 @@
                      static_cast<u32>(SCUDO_SHARED_TSD_POOL_SIZE));
   TSDs = reinterpret_cast<ScudoTSD *>(
       MmapOrDie(sizeof(ScudoTSD) * NumberOfTSDs, "ScudoTSDs"));
-  for (u32 i = 0; i < NumberOfTSDs; i++)
-    TSDs[i].init(/*Shared=*/true);
+  for (u32 I = 0; I < NumberOfTSDs; I++) {
+    TSDs[I].init();
+    u32 A = I + 1;
+    u32 B = NumberOfTSDs;
+    while (B != 0) { const u32 T = A; A = B; B = T % B; }
+    if (A == 1)
+      CoPrimes[NumberOfCoPrimes++] = I + 1;
+  }
 }
 
 ALWAYS_INLINE void setCurrentTSD(ScudoTSD *TSD) {
 #if SANITIZER_ANDROID
   *get_android_tls_ptr() = reinterpret_cast<uptr>(TSD);
+#elif SANITIZER_LINUX
+  CurrentTSD = TSD;
 #else
   CHECK_EQ(pthread_setspecific(PThreadKey, reinterpret_cast<void *>(TSD)), 0);
 #endif  // SANITIZER_ANDROID
@@ -51,33 +66,41 @@
 }
 
 ScudoTSD *getTSDAndLockSlow() {
-  ScudoTSD *TSD;
+  ScudoTSD *TSD = getCurrentTSD();
   if (NumberOfTSDs > 1) {
-    // Go through all the contexts and find the first unlocked one.
-    for (u32 i = 0; i < NumberOfTSDs; i++) {
-      TSD = &TSDs[i];
-      if (TSD->tryLock()) {
-        setCurrentTSD(TSD);
-        return TSD;
+    u32 RandState = static_cast<u32>(TSD->getPrecedence());
+    const u32 R = Rand(&RandState);
+    const u32 Inc = CoPrimes[R % NumberOfCoPrimes];
+    u32 Index = R % NumberOfTSDs;
+    uptr LowestPrecedence = UINTPTR_MAX;
+    ScudoTSD *CandidateTSD = nullptr;
+    // Go randomly through at most 4 contexts and find a candidate.
+    for (u32 I = 0; I < Min(4U, NumberOfTSDs); I++) {
+      if (&TSDs[Index] == TSD)
+        continue;
+      if (TSDs[Index].tryLock()) {
+        setCurrentTSD(&TSDs[Index]);
+        return &TSDs[Index];
       }
-    }
-    // No luck, find the one with the lowest Precedence, and slow lock it.
-    u64 LowestPrecedence = UINT64_MAX;
-    for (u32 i = 0; i < NumberOfTSDs; i++) {
-      u64 Precedence = TSDs[i].getPrecedence();
-      if (Precedence && Precedence < LowestPrecedence) {
-        TSD = &TSDs[i];
+      const uptr Precedence = TSDs[Index].getPrecedence();
+      // A 0 precedence here means another thread just locked this TSD.
+      if (UNLIKELY(Precedence == 0))
+        continue;
+      if (Precedence < LowestPrecedence) {
+        CandidateTSD = &TSDs[Index];
         LowestPrecedence = Precedence;
       }
+      Index += Inc;
+      if (Index >= NumberOfTSDs)
+        Index -= NumberOfTSDs;
     }
-    if (LIKELY(LowestPrecedence != UINT64_MAX)) {
-      TSD->lock();
-      setCurrentTSD(TSD);
-      return TSD;
+    if (CandidateTSD) {
+      CandidateTSD->lock();
+      setCurrentTSD(CandidateTSD);
+      return CandidateTSD;
     }
   }
   // Last resort, stick with the current one.
-  TSD = getCurrentTSD();
   TSD->lock();
   return TSD;
 }
Index: lib/scudo/scudo_tsd_shared.inc
===================================================================
--- lib/scudo/scudo_tsd_shared.inc
+++ lib/scudo/scudo_tsd_shared.inc
@@ -19,9 +19,16 @@
 
 extern pthread_key_t PThreadKey;
 
+#if SANITIZER_LINUX && !SANITIZER_ANDROID
+__attribute__((tls_model("initial-exec")))
+extern THREADLOCAL ScudoTSD *CurrentTSD;
+#endif
+
 ALWAYS_INLINE ScudoTSD* getCurrentTSD() {
 #if SANITIZER_ANDROID
   return reinterpret_cast<ScudoTSD *>(*get_android_tls_ptr());
+#elif SANITIZER_LINUX
+  return CurrentTSD;
 #else
   return reinterpret_cast<ScudoTSD *>(pthread_getspecific(PThreadKey));
 #endif  // SANITIZER_ANDROID
@@ -35,9 +42,10 @@
 
 ScudoTSD *getTSDAndLockSlow();
 
-ALWAYS_INLINE ScudoTSD *getTSDAndLock() {
+ALWAYS_INLINE ScudoTSD *getTSDAndLock(bool *UnlockRequired) {
   ScudoTSD *TSD = getCurrentTSD();
-  CHECK(TSD && "No TSD associated with the current thread!");
+  DCHECK(TSD && "No TSD associated with the current thread!");
+  *UnlockRequired = true;
   // Try to lock the currently associated context.
   if (TSD->tryLock())
     return TSD;