From left: Steven Tyler, Jennifer Lopez and Randy Jackson
07/25/2011 AT 06:50 PM EDT
looks to be staying busy after the collapse of her marriage to Marc Anthony.
After a lavish Miami birthday
, the newly single starlet
, 42, is on the verge of inking a new deal with American Idol.
A source who has worked with Lopez and Anthony tells PEOPLE that Lopez is "very close" to returning for a second season, which begins in January.
"She really loved doing the show," says the source. "She says she’s doing it."
Cécile Frot-Coutaz, the chief executive officer of the company that produces Idol
, declined to comment on the negotiations, but she tells the Wall Street Journal
, "We’re in good shape. No worries. No dark clouds on the horizon."