Pals say the pop star, 25, is desperate to get the couple's relationship back on track for the sake of their children.
They claim she has dumped latest boyfriend John Sundahl — a drugs counsellor at the rehab centre she went to — and has been spending time with Kev at her house.
A friend said: "Britney does not want two divorces behind her at her age.
"She and Kevin are talking things through and hope they can work it out and be a proper family again."
Britney married childhood pal Jason Alexander in 2004 and got an annulment after two days.
She wed Kevin, 29, later that year and they had two sons, Sean, now 20 months, and Jayden, eight months. But she went into meltdown after filing for divorce last November.
Following a spell in rehab she wrote on her website: "I was so lost."
Our source added: "Britney has finally realised she needs Kevin to keep her strong. Since they split, her life has been in freefall and she knows it's just not fair on the kids.
"They need their dad and Britney is determined to be a good mother."