"It's over," a source tells Us. "He has been going around L.A. telling people that they are divorcing."

Kroeger, 39, popped the question to Lavigne, 29, in August 2012 after dating for a month. They wed in an intimate ceremony in the South of France in July 2013. Despite their troubles, the couple have yet to hint about a strain in their relationship in public. In July, the Canadian singer gushed via Twitter about the 17-carat emerald-cut ring Kroeger gifted her for their first wedding anniversary.