The romance between Bill Belichick and Jordon Hudson is going well, a source close to the new UNC-Chapel Hill football head coach tells PEOPLE.

Just over a week after Belichick, 72, and Hudson, 24, made their red carpet debut together in New York City, an insider says the couple has a “solid” relationship while the former head coach of the Patriots assumes his new role at UNC – Chapel Hill.

Belichick’s schedule as the new head coach will certainly fill up soon, but the insider tells PEOPLE that the relationship between him and Hudson remains strong.

“Bill will put everything into the new coaching job, which he is very excited about,” says the source.

“But Jordon is also a busy woman with a lot going on. So I can’t imagine this doing anything other than strengthening their solid relationship.”

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A second source close to the head coach believes his relationship with Hudson is — and was — serious, but says there are no immediate plans for marriage.

“I think Bill is generally in no rush to get married again right now,” the source tells PEOPLE.

“Now that he’s becoming a coach, it’s at the top of his list. He had to get back to work. He has an extremely ideal situation for his experience and personality.”

Hudson has supported Belichick’s new coaching job since it was announced on December 11th.

“We’re on Chapel Hill!!!” Hudson wrote on her Instagram Stories, a reference to her boyfriend’s viral “We’re on Cincinnati” press conference that took place in 2014.

And when Belichick, a member of the Tar Heel Nation, was introduced as the new UNC-Chapel Hill football head coach, Hudson was there.

According to the New York PostHudson was seen sitting next to Millie Lombardi, the wife of Michael Lombardi, who is also taking on a new role as UNC general manager.