updated 01/12/2013 AT 7:00 AM ET
•originally published 01/12/2013 AT 10:50 AM ET
Demi Moore may have a new love interest.
The actress and restaurant owner Harry Morton have been on several dates in recent weeks, including one to the South Beverly Grill in Beverly Hills, according to a source.
“Demi was very giddy during her date with Harry,” says the source. “She was really into him and seemed to very much enjoy his company.”
Moore, 50, and Morton, 31, have also hung out together at Moore’s Beverly Hills home, the source adds.
A source told E! Online, who first reported the news, “They are just getting to know one another … [Moore is] in a really good place at the moment and is hopeful about the future.”