diff --git a/src/internal_modules/roc_core/limited_pool.h b/src/internal_modules/roc_core/limited_pool.h
index 8d96d95f9..f437cf1aa 100644
--- a/src/internal_modules/roc_core/limited_pool.h
+++ b/src/internal_modules/roc_core/limited_pool.h
@@ -28,8 +28,7 @@ class LimitedPool : public NonCopyable<LimitedPool>, public IPool {
     //! Get size of object allocated by pool.
     size_t object_size() const;
 
-    //! Reserve memory for given number of objects, after checking with the memory
-    //! limiter.
+    //! Reserve memory for given number of objects.
     //! @returns
     //!  false if allocation failed.
     ROC_ATTR_NODISCARD bool reserve(size_t n_objects);
diff --git a/src/tests/roc_core/test_limited_arena.cpp b/src/tests/roc_core/test_limited_arena.cpp
index 1805473b2..bbadf1af7 100644
--- a/src/tests/roc_core/test_limited_arena.cpp
+++ b/src/tests/roc_core/test_limited_arena.cpp
@@ -51,5 +51,22 @@ TEST(limited_arena, enforce_limit) {
     }
 }
 
+TEST(limited_arena, size_of_and_overhead) {
+    HeapArena heapArena;
+    MemoryLimiter memoryLimiter("test", 256);
+
+    {
+        LimitedArena arena(heapArena, memoryLimiter);
+
+        void* pointer0 = arena.allocate(128);
+        CHECK(pointer0);
+
+        CHECK(arena.size_of(pointer0) == 128);
+
+        arena.deallocate(pointer0);
+
+        CHECK(arena.overhead() > 0);
+    }
+}
 } // namespace core
 } // namespace roc
diff --git a/src/tests/roc_core/test_limited_pool.cpp b/src/tests/roc_core/test_limited_pool.cpp
index 9a390434f..772b5e10d 100644
--- a/src/tests/roc_core/test_limited_pool.cpp
+++ b/src/tests/roc_core/test_limited_pool.cpp
@@ -38,7 +38,33 @@ TEST(limited_pool, enforce_limit) {
 
         void* memory0 = pool.allocate();
         CHECK(memory0);
+        CHECK(memoryLimiter.acquired() > 128);
+
+        void* memory1 = pool.allocate();
+        CHECK(memory1 == NULL);
+
+        pool.deallocate(memory0);
+
+        memory1 = pool.allocate();
+        CHECK(memory1);
+
+        pool.deallocate(memory1);
 
+        CHECK(memoryLimiter.acquired() == 0);
+    }
+}
+
+TEST(limited_pool, enforce_limit_despite_reserve) {
+    HeapArena arena;
+    SlabPool<TestObject> slabPool("test", arena);
+    MemoryLimiter memoryLimiter("test", 256);
+
+    {
+        LimitedPool pool(slabPool, memoryLimiter);
+        CHECK(pool.reserve(5));
+
+        void* memory0 = pool.allocate();
+        CHECK(memory0);
         CHECK(memoryLimiter.acquired() > 128);
 
         void* memory1 = pool.allocate();
@@ -55,5 +81,40 @@ TEST(limited_pool, enforce_limit) {
     }
 }
 
+TEST(limited_pool, track_but_no_enforce_limit) {
+    HeapArena arena;
+    SlabPool<TestObject> slabPool("test", arena);
+    MemoryLimiter memoryLimiter("test", 0);
+
+    {
+        LimitedPool pool(slabPool, memoryLimiter);
+
+        void* memory0 = pool.allocate();
+        CHECK(memory0);
+        CHECK(memoryLimiter.acquired() > 128);
+
+        void* memory1 = pool.allocate();
+        CHECK(memory1);
+        CHECK(memoryLimiter.acquired() > 256);
+
+        pool.deallocate(memory0);
+        pool.deallocate(memory1);
+        CHECK(memoryLimiter.acquired() == 0);
+    }
+}
+
+TEST(limited_pool, object_size_and_overhead) {
+    HeapArena arena;
+    SlabPool<TestObject> slabPool("test", arena);
+    MemoryLimiter memoryLimiter("test", 256);
+
+    {
+        LimitedPool pool(slabPool, memoryLimiter);
+
+        CHECK(pool.object_size() == 128);
+        CHECK(pool.overhead() > 0);
+    }
+}
+
 } // namespace core
 } // namespace roc