The Twitter flirtation between Evan Rachel Wood and “The L Word” star Katherine Moennig seems to have moved offline.

A spy at the Hammer Museum’s annual Gala in the Garden in LA — where stars included Julia Roberts, Demi Moore and Orlando Bloom — said, “Evan Rachel Wood arrived with Kate Moennig. They were holding hands and looked very much like a couple.”

The source added that the attractive pair headed to a secluded table and “kept close all night.”

Wood, who split from “Billy Elliot” star Jamie Bell in May after less than two years of marriage, and has been linked to Marilyn Manson, has tweeted that she’s bisexual and said of Moennig online, “Just saw @katemoennig at a flea market. I turned to mush and ran. Love her!!” Moennig shot back, “you should have said hi.”

Wood also tweeted, “I had a dream @katemoennig and I were stuck in a cab together for hours during pride in NY. We just fell asleep though.”

Moennig, who also stars on “Ray Donovan,” has been tight-lipped about her private life. The actresses’ reps didn’t get back to us.