The 22-year-old actress, who has been linked to a series of young heartthrobs including Josh Harnett and Jared Leto, dotes on her 71-year-old 'Match Point' director.
She says : "I'd sew the hems of his pants if he asked me to."
Woody recently admitted he finds Scarlett "criminally sexy". Praising his current movie muse, he said: "She is unlike anyone who has come before her, and while she is a much stronger actress in every way, there is a tiny bit of Marilyn Monroe in her."
Scarlett also denied rumours she is dating pop heartthrob Justin Timberlake.
The actress, who plays his love interest in the video for his new single 'What Comes Around', insisted: "Of course it's not true. We had fun together, but it's not like the first time I've ever hung out with him. I think this happens because we're both single and in the spotlight.