The dating rumours spread after the two were seen enjoying dinner together at The Manor Hotel here earlier this week.
"They see each other at some functions, but they are not dating. He will date again and has been talking with women," said a source.
The 51-year-old has not publicly romanced another woman since he and Katie Holmes - with whom he shares daughter Suri, 7 - divorced in 2012.
"He's actually a lot more relaxed and more extroverted," said the source.