Anchal – who is 25 years younger than the actor – came seventh in the seventh season on the reality TV series in 2006, which is fronted by Tyra Banks.
Though Jim has not commented on his rumoured new romance, it is not the first time he has recently taken in a stage show with an attractive young female companion.
Last Wednesday (12.01.11), he enjoyed a production of ‘ Fuerza Bruta: Look Up’ in New York’s Union Square with a mystery blonde, though they were accompanied by two bodyguards to ensure they would not be photographed together.
A source said at the time: “Carrey's assistant called the theatre to ensure security would be top-notch and no one was to approach him for pictures.
“They were very romantic and there was lots of hand-holding.”