diff --git a/src/backend/storage/file/buffile.c b/src/backend/storage/file/buffile.c
index a263875fd5a..a27f51f6220 100644
--- a/src/backend/storage/file/buffile.c
+++ b/src/backend/storage/file/buffile.c
@@ -857,9 +857,9 @@ BufFileSeekBlock(BufFile *file, int64 blknum)
 }
 
 /*
- * Return the current fileset based BufFile size.
+ * Returns the amount of data in the given BufFile, in bytes.
  *
- * Counts any holes left behind by BufFileAppend as part of the size.
+ * Returned value includes the size of any holes left behind by BufFileAppend.
  * ereport()s on failure.
  */
 int64
@@ -867,8 +867,6 @@ BufFileSize(BufFile *file)
 {
 	int64		lastFileSize;
 
-	Assert(file->fileset != NULL);
-
 	/* Get the size of the last physical file. */
 	lastFileSize = FileSize(file->files[file->numFiles - 1]);
 	if (lastFileSize < 0)
@@ -883,8 +881,7 @@ BufFileSize(BufFile *file)
 }
 
 /*
- * Append the contents of source file (managed within fileset) to
- * end of target file (managed within same fileset).
+ * Append the contents of the source file to the end of the target file.
  *
  * Note that operation subsumes ownership of underlying resources from
  * "source".  Caller should never call BufFileClose against source having
@@ -908,10 +905,8 @@ BufFileAppend(BufFile *target, BufFile *source)
 	int			newNumFiles = target->numFiles + source->numFiles;
 	int			i;
 
-	Assert(target->fileset != NULL);
 	Assert(source->readOnly);
 	Assert(!source->dirty);
-	Assert(source->fileset != NULL);
 
 	if (target->resowner != source->resowner)
 		elog(ERROR, "could not append BufFile with non-matching resource owner");