diff --git a/icu4c/source/tools/memcheck/ICUMemCheck.pl b/icu4c/source/tools/memcheck/ICUMemCheck.pl
index c7ddf977e8..019f7ecd78 100755
--- a/icu4c/source/tools/memcheck/ICUMemCheck.pl
+++ b/icu4c/source/tools/memcheck/ICUMemCheck.pl
@@ -7,33 +7,27 @@
 #  ***********************************************************************
 #
 # This perl script checks for correct memory function usage in ICU library code.
-# It works with Linux builds of ICU using gcc.
+# It works with Linux builds of ICU using clang or gcc.
 #
 #  To run it,
 #    1.  Build ICU
 #    2.  cd  icu/source
-#    3.  perl ICUMemCheck.pl
+#    3.  perl tools/memcheck/ICUMemCheck.pl
 #
 #  All object files containing direct references to C or C++ runtime library memory
 #    functions will be listed in the output.
 #
-#  For ICU 3.6, the expected output is
+#  For ICU 58, the expected output is
 #    common/uniset.o          U operator delete(void*)
 #    common/unifilt.o         U operator delete(void*)
 #    common/cmemory.o         U malloc
 #    common/cmemory.o         U free
 #    i18n/strrepl.o           U operator delete(void*)
-#    layout/LEFontInstance.o         U operator delete(void*)
-#    layout/LEGlyphStorage.o         U operator delete(void*)
-#    layout/LayoutEngine.o    U operator delete(void*)
 #
 #  cmemory.c          Expected failures from uprv_malloc, uprv_free implementation.
 #  uniset.cpp         Fails because of SymbolTable::~SymbolTable()
 #  unifilt.cpp        Fails because of UnicodeMatcher::~UnicodeMatcher()
 #  strrepl.cpp        Fails because of UnicodeReplacer::~UnicodeReplacer()
-#  LayoutEngine.cpp   Fails because of LEGlyphFilter::~LEGlyphFilter()
-#  LEGlyphStorage.cpp Fails because of LEInsertionCallback::~LEInsertionCallback()
-#  LEFontInstance.cpp Fails because of LECharMapper::~LECharMapper
 #
 #  To verify that no additional problems exist in the .cpp files, #ifdef out the
 #  offending destructors, rebuild icu, and re-run the tool.  The problems should
@@ -45,7 +39,7 @@
 #  in the destructors will never be called because stand-alone instances of
 #  the classes cannot exist.
 #
-$fileNames = `find common i18n layout io -name "*.o" -print`;
+$fileNames = `find common i18n io -name "*.o" -print`;
 foreach $f (split('\n', $fileNames)) {
    $symbols = `nm -u -C $f`;
    if ($symbols =~ /U +operator delete\(void\*\)/) {
@@ -63,7 +57,7 @@ foreach $f (split('\n', $fileNames)) {
    if ($symbols =~ /U +malloc.*/) {
       print "$f 	$&\n";
    }
-   if ($symbols =~ /U +free.*/) {
+   if ($symbols =~ /(?m:U +free$)/) {
       print "$f 	$&\n";
    }