The pair, who are both married to other people, were seen kissing in broad daylight in Los Angeles and TMZ is reporting that they are dating.
Morris has been married to actress Mary McCormack for more than a decade and they have three daughters between the ages of 2 and 9.
McPhee, 29, has been married to 47-year-old producer Nick Cokas since 2008 and they have no children.
It’s been reported that Cokas and McPhee have "been separated for six months,” but that
"Nick continues to co-manage her music.”
Morris and McPhee met on the set of Smash, but NBC elected to cancel the musical drama back in May.