The Cougar Town star has reportedly been seeing the professional dancer since January (14).
A source tells People.com, "They have been seeing each other since around New Year's. They are having fun. He's a really solid guy.
"(They) met in social circles because they both were on ABC (network) shows. They are enjoying each other's company. They make a nice couple."
Hopkins was previously linked to his co-star Courtney Cox and Burke dated Canadian ice hockey star Joffrey Lupul in 2012, according to Us Weekly magazine.