Walker spokeswoman Kirsten Kukowski disputed the Journal account.
See how that went:

Wisconsin Gov. Scott Walker’s team is pushing back after a Wall Street Journal story reported that the likely GOP presidential contender had shifted his tone on illegal immigration and a path to citizenship.

Walker allegedly told those gathered at a March 13 private dinner at a restaurant in New Hampshire that he backed a pathway to citizenship for illegal immigrants, according to the Journal report, which was “at odds with his previous public statements on the matter.”