The singer and actress broke the news that she was leaving on Friday, just a day after Aerosmith's Steven Tyler also announced he would not be back for the next series.
But while Lopez tearfully told Ryan Seacrest on his radio show that she was departing to focus on her music career and her family, a Hollywood trade publication is claiming that Fox, who produces the show in the US, refused to negotiate when she asked for an extra $2m for the next series.
Her first series as a judge saw her pocket a salary of $12m, which was raised to $15m for the most recent series of the show.
She said of her departure: 'I honestly feel like the time has come that I have to get back to doing the other things that I do that I've kind of put on hold.'
'I just don't feel like I can be there every single day all the time like I have done for the past two years.'
Tyler, meanwhile, is also reported to have been dropped by the network - despite his claims he was leaving to concentrate on Aerosmith.
The rocker told gossip website TMZ, 'After some long hard thoughts, I've decided it's time to let go of my mistress American Idol before she boils my rabbit.'
According to reports the remaining judge Randy Jackson - who has been with the show since it started in 2002 - is also considering his future on the panel.
Among those said to be in the frame to replace the departing duo are Mariah Carey, Mary J Blige, Lenny Kravitz and former American Idol runner-up Adam Lambert - with show bosses reportedly keen for a shake-up of the show following disappointing ratings for the last series.
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