diff --git a/spec/parser.spec.js b/spec/parser.spec.js
index af089b6..fc9eb21 100644
--- a/spec/parser.spec.js
+++ b/spec/parser.spec.js
@@ -72,6 +72,11 @@ describe("PEG.js grammar parser", function() {
     });
   });
 
+  /* Canonical unicodeEscapeSequence is "\\uFFFF". */
+  it("parses unicodeEscapeSequence", function() {
+    expect('start = "\\uFFFF"').toParseAs(literalGrammar("\uFFFF"));
+  });
+
   /* Canonical eolEscapeSequence is "\\\n". */
   it("parses eolEscapeSequence", function() {
     expect('start = "\\\n"'    ).toParseAs(literalGrammar("\n"));
diff --git a/test/parser-test.js b/test/parser-test.js
index 630ef15..76242d8 100644
--- a/test/parser-test.js
+++ b/test/parser-test.js
@@ -504,16 +504,4 @@ test("parses hexEscapeSequence", function() {
   parserParses('start = "\\x000"', literalGrammar("\x000"));
 });
 
-/* Canonical unicodeEscapeSequence is "\\u0120". */
-test("parses unicodeEscapeSequence", function() {
-  parserParses('start = "\\u0120"',  literalGrammar("\u0120"));
-  parserParses('start = "\\u0129"',  literalGrammar("\u0129"));
-  parserParses('start = "\\u012a"',  literalGrammar("\u012a"));
-  parserParses('start = "\\u012f"',  literalGrammar("\u012f"));
-  parserParses('start = "\\u012A"',  literalGrammar("\u012A"));
-  parserParses('start = "\\u012F"',  literalGrammar("\u012F"));
-  parserDoesNotParse('start = "\\u012"');
-  parserParses('start = "\\u01234"', literalGrammar("\u01234"));
-});
-
 })();