diff --git a/lib/csv/parser.rb b/lib/csv/parser.rb
index 3b051320..ed9297fe 100644
--- a/lib/csv/parser.rb
+++ b/lib/csv/parser.rb
@@ -201,7 +201,8 @@ def keep_back
           # trace(__method__, :rescan, start, buffer)
           string = @scanner.string
           if scanner == @scanner
-            keep = string.byteslice(start, string.bytesize - start)
+            keep = string.byteslice(start,
+                                    string.bytesize - @scanner.pos - start)
           else
             keep = string
           end
diff --git a/test/csv/parse/test_skip_lines.rb b/test/csv/parse/test_skip_lines.rb
index d231cc65..2fea02eb 100644
--- a/test/csv/parse/test_skip_lines.rb
+++ b/test/csv/parse/test_skip_lines.rb
@@ -115,4 +115,12 @@ def test_crlf
                  CSV.parse("a,b\r\n,\r\n",
                            :skip_lines => /^,+$/))
   end
+
+  def test_crlf_strip_no_last_crlf
+    assert_equal([["a"], ["b"]],
+                 CSV.parse("a\r\nb",
+                           row_sep: "\r\n",
+                           skip_lines: /^ *$/,
+                           strip: true))
+  end
 end