The London-born Sri Lankan singer gave birth to a boy earlier this week, just three days after she sang at the Grammy Awards.
Oscar producers Laurence Mark and Bill Condon are reportedly going to great lengths to persuade her to perform at the February 22 ceremony, where 'O Saya' from Slumdog Millionaire is running for best song.
According to WENN, Mark said: "She's eager to perform... We've said things like, 'We're willing to have her enter on a large bed'. We'll make it as easy for her as we can."
M.I.A announced in October that she and her fiancé Benjamin Brewer, lead singer and guitarist of The Exit, were expecting their first child.