08/31/2012 at 05:30 PM EDT
recently went on Italian getaway to enjoy the sun, the sand – and possibly a new man?
While on a family getaway to Sardinia, the Project Runway
host, 39, was spotted getting close to her bodyguard
of four years, Martin Kirsten, sparking rumors that the two are dating.
Not exactly, a friend close to Klum tells PEOPLE.
"It's complicated," says the friend. "Their relationship is hard to define."
For Klum, who announced she was separating from her husband of seven years singer Seal
in January, "this has been a difficult time," says the pal. "Her inner circle of people she trusts is getting smaller and smaller and he is her No. 1 confidante."
During their Italian vacation, Klum and Kirsten weren't alone. They were seen playing on the beach with Klum's children – Leni, 8, Henry, 6½, Johan, 5½, and Lou, 2½. Klum's parents, Erna and Gunther, were also there.
Kirsten has also been spotted around New York City with Klum as she filmed Project Runway
In terms of finding a new husband, however, Klum has said it's not a top priority
. "I don't know if I'll get married again," Klum told a German publication in July.
But she later added: "Although I really enjoyed being married. I'm a dreamer."