Rumor has it...GEORGE CLOONEY appears to be ENGAGED.


There's no official word from Clooney, but "serious" websites like and E! Online are reporting it as FACT.


His future wife is Amal Alamuddin, a 36-year-old British lawyer who specializes in international law and human rights.  She was born in Lebanon, and speaks fluent English, French and Arabic.


She recently represented WikiLeaks founder Julian Assange in his extradition proceedings with Sweden.


They've been dating for about seven months, and during a dinner last week with CINDY CRAWFORD and her husband, Amal was supposedly wearing a huge rock on her engagement finger.


At one point EDWARD NORTON stopped by the table to visit, and George and Amal told him they're engaged.  There's no word on any wedding plans.


A source says, quote, "They are trying to keep things very low-key but they also aren't really trying to hide this.  I think it's like they want the people they love to know that this is real, that they plan on being together forever."


George is 52, and if this really happens, Amal will be his second wife.  He was married to actress TALIA BALSAM from 1989 to 1993, and he's been in no hurry to ever tie the knot again.


Years ago, he supposedly had $10,000 bets with both MICHELLE PFEIFFER and NICOLE KIDMAN that he'd be married by the year 2000.  Obviously, he won.


But on a British talk show in 2007, Michelle said, quote, "I bet him he would get married and he keeps inflating the bet from $100 dollars to $100,000 dollars.  I still think he will, he's a handsome devil."