Seal and Heidi Klum Close to Divorce Settlement

Heidi Klum and Seal are close to settling their divorce ... TMZ has learned.

Sources connected with Seal tell TMZ ... the singer is fully on board to end the marriage and now fully recognizes that the postnuptial agreement he signed is enforceable and will be "substantially honored."

As you know ... Seal erupted over the weekend, accusing Heidi of banging the bodyguard before the couple separated. But our sources say Seal retracted his comment a day later, because he didn't want the divorce negotiations to become acrimonious.