According to a source "they want to make it official as soon as possible."
Mavrakis was seen out not wearing her wedding ring and then the married couple announced their breakup.
McGregor's wife admitted the end of her 22 year marriage to the Trainspotting star was "disappointing."
The Phantom Menace actor filed for divorce from Mavrakis in Jan. 2018.
Now, he and Winstead are determined to settle down together, the insider told Radar.
"Once Ewan's affairs are settled with his soon-to-be ex-wife, his plan with Winstead is to slip away and tie the knot.
'Mary Elizabeth is pushing the relationship to be as close to a marriage as possible, by her own admission, and is now at the point where she hates even spending a single night away from Ewan."
Fans were shocked when married McGregor took up with much younger Winstead, and his daughter Clara certainly doesn't approve!, as Radar reported.
She slammed her father’s new girlfriend after a fan account posted a photo of her naming her the "most beautiful and talented woman on earth."
Clara ranted back, "Most beautiful and talented woman on earth? Oh man y’all are delusional. The girl is a piece of trash."
But that isn't stopping McGregor and his actress beauty, the source told Radar.
"Mary Elizabeth wants a family with Ewan and their commitment is stronger than ever, but the next step is getting married, and that's something she tells friends they both want very badly.
"Unfortunately, both she and Ewan are booked pretty solid for the next year with movies, and they want to be married a lot quicker than that, really, as soon as possible."
The source added, "Even though this relationship had a very tumultuous start, they're on solid ground and make for a very devoted couple."
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