diff --git a/src/testdir/test64.in b/src/testdir/test64.in
index ec6107f..a946aa4 100644
--- a/src/testdir/test64.in
+++ b/src/testdir/test64.in
@@ -228,6 +228,7 @@
 :call add(tl, [2, '\v((ab)|c*)+', 'abcccaba', 'abcccab', '', 'ab'])
 :call add(tl, [2, '\v(a(c*)+b)+', 'acbababaaa', 'acbabab', 'ab', ''])
 :call add(tl, [2, '\v(a|b*)+', 'aaaa', 'aaaa', ''])
+:call add(tl, [2, '\p*', 'aá 	', 'aá '])
 :"
 :" Test greedy-ness and lazy-ness
 :call add(tl, [2, 'a\{-2,7}','aaaaaaaaaaaaa', 'aa'])
diff --git a/src/testdir/test64.ok b/src/testdir/test64.ok
index 4203c8f..efcf8dd 100644
--- a/src/testdir/test64.ok
+++ b/src/testdir/test64.ok
@@ -506,6 +506,9 @@
 OK 0 - \v(a|b*)+
 OK 1 - \v(a|b*)+
 OK 2 - \v(a|b*)+
+OK 0 - \p*
+OK 1 - \p*
+OK 2 - \p*
 OK 0 - a\{-2,7}
 OK 1 - a\{-2,7}
 OK 2 - a\{-2,7}
diff --git a/src/testdir/test95.in b/src/testdir/test95.in
index 306c1b4..90fa699 100644
--- a/src/testdir/test95.in
+++ b/src/testdir/test95.in
@@ -29,6 +29,7 @@
 
 :" this is not a normal "i" but 0xec
 :call add(tl, [2, '\p\+', 'ìa', 'ìa'])
+:call add(tl, [2, '\p*', 'aあ', 'aあ'])
 
 :"""" Test recognition of some character classes
 :call add(tl, [2, '\i\+', '&*¨xx ', 'xx'])
@@ -118,6 +119,16 @@
 :endfor
 :unlet t tl e l
 
+:" check that 'ambiwidth' does not change the meaning of \p
+:set regexpengine=1 ambiwidth=single
+:$put ='eng 1 ambi single: ' . match(\"\u00EC\", '\p')
+:set regexpengine=1 ambiwidth=double
+:$put ='eng 1 ambi double: ' . match(\"\u00EC\", '\p')
+:set regexpengine=2 ambiwidth=single
+:$put ='eng 2 ambi single: ' . match(\"\u00EC\", '\p')
+:set regexpengine=2 ambiwidth=double
+:$put ='eng 2 ambi double: ' . match(\"\u00EC\", '\p')
+
 :/\%#=1^Results/,$wq! test.out
 ENDTEST
 
diff --git a/src/testdir/test95.ok b/src/testdir/test95.ok
index b9cdd2e..c378221 100644
--- a/src/testdir/test95.ok
+++ b/src/testdir/test95.ok
@@ -17,6 +17,9 @@
 OK 0 - \p\+
 OK 1 - \p\+
 OK 2 - \p\+
+OK 0 - \p*
+OK 1 - \p*
+OK 2 - \p*
 OK 0 - \i\+
 OK 1 - \i\+
 OK 2 - \i\+
@@ -113,3 +116,7 @@
 OK 0 - [^[=a=]]\+
 OK 1 - [^[=a=]]\+
 OK 2 - [^[=a=]]\+
+eng 1 ambi single: 0
+eng 1 ambi double: 0
+eng 2 ambi single: 0
+eng 2 ambi double: 0