The model split from her boyfriend of two years Thom Evans last week, after he reportedly grew jealous over her regular meetings with Cipriani.
Kelly Brook with ex-boyfriend Danny Cipriani
However, she later denied that a "third party" was a factor in their break-up.
Cipriani has been supporting Brook following her recent split, though they are not yet an official item, according to The Sun.
A source said: "Danny and Kelly have always had a special connection. He's been supporting her since she broke with Thom - and she was there for him when his rugby career took a turn for the worse.
"She's always felt very protective of him and also they have a great laugh. That's one of the reasons why she turned to him following the split.
Kelly Brook with ex-boyfriend Thom Evans
"They are not an item yet - but she knows they'll always have fun when they are together.
"Thom and Kelly had been arguing a lot recently - especially after she started seeing more of Danny."
Brook began dating Evans in November 2010 after they met at a nightclub. She suffered a miscarriage with their child the following May.
She dated Cipriani for two years before their split in 2010.