Despite rumours of infidelity, the couple has not decided whether they will be filing for divorce, reported People.
A source close to the couple explained, "It is a tough situation. [I] don’t think that anyone who knows them and cares about them doesn’t have an opinion about why they should [split], but it’s not happening now."
According to the same source, the main concern at this time is Winehouse’s health and well-being.
Winehouse met Fielder-Civil at a bar in London in 2003.