diff --git a/MdePkg/Library/PeiMemoryAllocationLib/MemoryAllocationLib.c b/MdePkg/Library/PeiMemoryAllocationLib/MemoryAllocationLib.c
index b57197b9a3..a240d03ef3 100644
--- a/MdePkg/Library/PeiMemoryAllocationLib/MemoryAllocationLib.c
+++ b/MdePkg/Library/PeiMemoryAllocationLib/MemoryAllocationLib.c
@@ -644,7 +644,6 @@ AllocateReservedCopyPool (
   If NewSize is 0, then a valid buffer of 0 size is  returned.  If there is not 
   enough memory remaining to satisfy the request, then NULL is returned.
   
-  If OldBuffer is NULL, then ASSERT().
   If NewSize is greater than (MAX_ADDRESS - Buffer + 1), then ASSERT(). 
   If OldSize is greater than (MAX_ADDRESS - Buffer + 1), then ASSERT(). 
 
diff --git a/MdePkg/Library/UefiMemoryAllocationLib/MemoryAllocationLib.c b/MdePkg/Library/UefiMemoryAllocationLib/MemoryAllocationLib.c
index 04984d0165..7704f289e1 100644
--- a/MdePkg/Library/UefiMemoryAllocationLib/MemoryAllocationLib.c
+++ b/MdePkg/Library/UefiMemoryAllocationLib/MemoryAllocationLib.c
@@ -661,7 +661,6 @@ AllocateReservedCopyPool (
   If NewSize is 0, then a valid buffer of 0 size is  returned.  If there is not 
   enough memory remaining to satisfy the request, then NULL is returned.
   
-  If OldBuffer is NULL, then ASSERT().
   If NewSize is greater than (MAX_ADDRESS - Buffer + 1), then ASSERT(). 
   If OldSize is greater than (MAX_ADDRESS - Buffer + 1), then ASSERT().