diff --git a/src/filepath.c b/src/filepath.c
index 851091e..5bf31ea 100644
--- a/src/filepath.c
+++ b/src/filepath.c
@@ -3945,13 +3945,13 @@
 	    }
 
 	    /*
-	     * If there are wildcards: Expand file names and add each match to
-	     * the list.  If there is no match, and EW_NOTFOUND is given, add
-	     * the pattern.
-	     * If there are no wildcards: Add the file name if it exists or
-	     * when EW_NOTFOUND is given.
+	     * If there are wildcards or case-insensitive expansion is
+	     * required: Expand file names and add each match to the list.  If
+	     * there is no match, and EW_NOTFOUND is given, add the pattern.
+	     * Otherwise: Add the file name if it exists or when EW_NOTFOUND is
+	     * given.
 	     */
-	    if (mch_has_exp_wildcard(p))
+	    if (mch_has_exp_wildcard(p) || (flags & EW_ICASE))
 	    {
 #if defined(FEAT_SEARCHPATH)
 		if ((flags & EW_PATH)
diff --git a/src/testdir/test_functions.vim b/src/testdir/test_functions.vim
index fddf4ae..a19dd52 100644
--- a/src/testdir/test_functions.vim
+++ b/src/testdir/test_functions.vim
@@ -2821,6 +2821,8 @@
   " Sort output of glob() otherwise we end up with different
   " ordering depending on whether file system is case-sensitive.
   call assert_equal(['XGLOB2', 'Xglob1'], sort(glob('Xglob[12]', 0, 1)))
+  " wildignorecase shall be applied even when the pattern contains no wildcards.
+  call assert_equal('XGLOB2', glob('xglob2'))
   set wildignorecase&
 
   call delete('Xglob1')
diff --git a/src/version.c b/src/version.c
index 487a134..c6111fc 100644
--- a/src/version.c
+++ b/src/version.c
@@ -751,6 +751,8 @@
 static int included_patches[] =
 {   /* Add new patch number below this line */
 /**/
+    4671,
+/**/
     4670,
 /**/
     4669,