The newspaper claims that Winehouse "agreed to marry Reg without a moment's hesitation", as she was "desperate" to put her battle with drug and alcohol addiction behind her.
A source revealed: "Reg asked Amy and of course she said 'Yes'. She loved him. She wanted nothing more than to be his wife and to start a family with him. She wanted to get rid of her demons so badly."
"They openly said they wanted to spend the rest of their lives together. They both thought the absolute world of each other."
They continued: "She was planning her future with Reg and that was playing a huge part in her thinking. Amy was adamant about sorting herself out. Reg's proposal made her even more determined."
"Reg has been with the family every day since. It was clear to see their relationship was genuine. It has made the last week all the more painful for Reg. He wanted to spend the rest of his life with her."
Winehouse's father Mitch also mentioned Reg in his speech at the 27-year old's funeral last week, saying: "Amy found love with Reg. He helped her with her problems and Amy was looking forward to their future together. She was the happiest she has been for years."