The 49-year-old actress – who announced last month she was divorcing Ashton Kutcher, her husband of six years – has hit out at her fans on the social networking website who have been demanding she changes the moniker, but she does not see it as a "top priority" in her life.
In a rare tweet since announcing her marriage split, she wrote: "Changing my twitter name isn't a top priority right now. sorry it bothers so many of u. should I not tweet until I do? does it really matter? (sic)"
Despite being a prolific user of twitter during her relationship with Ashton, Demi – who has more than 4.3 million followers on the micro-blogging website - has posted messages just three times since November 26.
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Before her latest series of posts she took a one-week break from the site after separating from the 'Two and a Half Men' actor, who was accused of sleeping with Sara Leal in September.
Demi has reportedly started dating beauty mogul Scott-Vincent Borba – who is in his mid-30s – after growing close to him over the past few weeks.
A source explained: "Demi and Scott-Vincent started dating last week. They have known each other a long time and he's really been there for her by her side through the whole Ashton thing."