diff --git a/src/snmalloc/global/libc.h b/src/snmalloc/global/libc.h
index 73e1783..d6ffa58 100644
--- a/src/snmalloc/global/libc.h
+++ b/src/snmalloc/global/libc.h
@@ -52,6 +52,25 @@ namespace snmalloc::libc
 
   SNMALLOC_FAST_PATH_INLINE void* realloc(void* ptr, size_t size)
   {
+    // Glibc treats
+    //   realloc(p, 0) as free(p)
+    //   realloc(nullptr, s) as malloc(s)
+    // and for the overlap
+    //   realloc(nullptr, 0) as malloc(1)
+    // Without the first two we don't pass the glibc tests.
+    // The last one is required by various gnu utilities such as grep, sed.
+    if (SNMALLOC_UNLIKELY(!is_small_sizeclass(size)))
+    {
+      if (SNMALLOC_UNLIKELY(size == 0))
+      {
+        if (SNMALLOC_UNLIKELY(ptr == nullptr))
+          return malloc(1);
+
+        dealloc(ptr);
+        return nullptr;
+      }
+    }
+
     size_t sz = alloc_size(ptr);
     // Keep the current allocation if the given size is in the same sizeclass.
     if (sz == round_size(size))
@@ -72,13 +91,10 @@ namespace snmalloc::libc
       }
       dealloc(ptr);
     }
-    else if (SNMALLOC_LIKELY(size == 0))
-    {
-      dealloc(ptr);
-    }
     else
     {
-      return set_error();
+      // Error should be set by alloc on this path already.
+      SNMALLOC_ASSERT(errno == ENOMEM);
     }
     return p;
   }
diff --git a/src/snmalloc/mem/sizeclasstable.h b/src/snmalloc/mem/sizeclasstable.h
index c9f70be..18c849a 100644
--- a/src/snmalloc/mem/sizeclasstable.h
+++ b/src/snmalloc/mem/sizeclasstable.h
@@ -457,6 +457,17 @@ namespace snmalloc
 
   constexpr SizeClassLookup sizeclass_lookup = SizeClassLookup();
 
+  /**
+   * @brief Returns true if the size is a small sizeclass. Note that
+   * 0 is not considered a small sizeclass.
+   */
+  constexpr bool is_small_sizeclass(size_t size)
+  {
+    // Perform the - 1 on size, so that zero wraps around and ends up on
+    // slow path.
+    return (size - 1) < sizeclass_to_size(NUM_SMALL_SIZECLASSES - 1);
+  }
+
   constexpr smallsizeclass_t size_to_sizeclass(size_t size)
   {
     auto index = sizeclass_lookup_index(size);
@@ -482,7 +493,7 @@ namespace snmalloc
    */
   static inline sizeclass_t size_to_sizeclass_full(size_t size)
   {
-    if ((size - 1) < sizeclass_to_size(NUM_SMALL_SIZECLASSES - 1))
+    if (is_small_sizeclass(size))
     {
       return sizeclass_t::from_small_class(size_to_sizeclass(size));
     }
@@ -493,26 +504,28 @@ namespace snmalloc
 
   inline SNMALLOC_FAST_PATH static size_t round_size(size_t size)
   {
-    if (size > sizeclass_to_size(NUM_SMALL_SIZECLASSES - 1))
+    if (is_small_sizeclass(size))
     {
-      if (size > bits::one_at_bit(bits::BITS - 1))
-      {
-        // This size is too large, no rounding should occur as will result in a
-        // failed allocation later.
-        return size;
-      }
-      return bits::next_pow2(size);
+      return sizeclass_to_size(size_to_sizeclass(size));
     }
-    // If realloc(ptr, 0) returns nullptr, some consumers treat this as a
-    // reallocation failure and abort.  To avoid this, we round up the size of
-    // requested allocations to the smallest size class.  This can be changed
-    // on any platform that's happy to return nullptr from realloc(ptr,0) and
-    // should eventually become a configuration option.
+
     if (size == 0)
     {
+      // If realloc(ptr, 0) returns nullptr, some consumers treat this as a
+      // reallocation failure and abort.  To avoid this, we round up the size of
+      // requested allocations to the smallest size class.  This can be changed
+      // on any platform that's happy to return nullptr from realloc(ptr,0) and
+      // should eventually become a configuration option.
       return sizeclass_to_size(size_to_sizeclass(1));
     }
-    return sizeclass_to_size(size_to_sizeclass(size));
+
+    if (size > bits::one_at_bit(bits::BITS - 1))
+    {
+      // This size is too large, no rounding should occur as will result in a
+      // failed allocation later.
+      return size;
+    }
+    return bits::next_pow2(size);
   }
 
   /// Returns the alignment that this size naturally has, that is
@@ -549,9 +562,7 @@ namespace snmalloc
     // sizeclass calculation.  We use the same fast path constant to
     // move the case where result==0 to the slow path, and then check for which
     // case we are in.
-    constexpr size_t SmallSizeClassUpperBound =
-      sizeclass_to_size(NUM_SMALL_SIZECLASSES - 1) - 1;
-    if (SNMALLOC_LIKELY((result - 1) < SmallSizeClassUpperBound))
+    if (is_small_sizeclass(result))
       return result;
 
     // We are in the slow path, so we need to check for overflow.
diff --git a/src/test/func/malloc/malloc.cc b/src/test/func/malloc/malloc.cc
index 630d723..b3ab963 100644
--- a/src/test/func/malloc/malloc.cc
+++ b/src/test/func/malloc/malloc.cc
@@ -265,6 +265,9 @@ int main(int argc, char** argv)
     test_calloc(0, size, SUCCESS, false);
   }
 
+  // Check realloc(nullptr,0) behaves like malloc(1)
+  test_realloc(nullptr, 0, SUCCESS, false);
+
   for (smallsizeclass_t sc = 0; sc < NUM_SMALL_SIZECLASSES; sc++)
   {
     const size_t size = sizeclass_to_size(sc);
@@ -277,6 +280,8 @@ int main(int argc, char** argv)
       test_realloc(our_malloc(size), size2, SUCCESS, false);
       test_realloc(our_malloc(size + 1), size2, SUCCESS, false);
     }
+    // Check realloc(p,0), behaves like free(p), if p != nullptr
+    test_realloc(our_malloc(size), 0, SUCCESS, true);
   }
 
   for (smallsizeclass_t sc = 0; sc < (MAX_SMALL_SIZECLASS_BITS + 4); sc++)