"Things are heating up in a good way. Definitely some good conversations. We're crossing our fingers it works out for Oprah's last season," the New York Post quoted a source saying.
"Several entities are being considered, and no decision has been made and won't be for a while," said a source close to Lohan.
The final season of Winfrey's long-running talk show will begin in the U.S. on Sept. 13. Her last episode will air Sept. 9, 2011.