The reunited couple will jet off together as soon as Fielder-Civil's court-ordered curfew is lifted, according to The Sun.
It is thought that the pair started plotting the romantic break after becoming fans of Cuban cigars.
A source said: "Smoking cigars is their new thing. It all started when Amy bought a pack of Romeo y Julieta for Blake, because she thinks they're also tragic lovers.
"Amy and Blake have been spending their time reading up on the history and the culture behind them. Amy, in particular, followed up their origin, in Cuba.
"She thinks there's a kind of romance to it and would love to go there with Blake. She wants to go away to celebrate them being back together properly. It will be their second honeymoon. As soon as his curfew allows, they'll be off."
Winehouse divorced Fielder-Civil last summer, but they have since been tipped to re-marry after apparently sorting out their differences.
