Kristin Davis is reportedly dating writer Aaron Sorkin.

The former 'Sex And The City' actress is said to be totally smitten with the Oscar winner after romancing him for the past six weeks and friends says it could turn into something serious.

A source told E! Online: ''It's been going on for around six weeks. They are really happy. They have actually known each other a while through mutual friends and would sometimes bump into one another at industry events, but it has only just turned into something more.''

''He is obviously really smart...and Kristin is very intelligent, too. They have a lot to talk about.''

Both Kristin, 47, and 50-year-old Aaron have battled alcohol addiction in the past and have successfully stayed sober, which friends say has has helped them Bond.

Aaron - whose screenplay for 'The Social Network' won an Oscar - was previously married to Julia Bingham, with whom he has a 12-year-old daughter, Roxy, with.

Last year, Kristin - who has never been married - adopted daughter Gemma Rose as a single parent.