The Los Angeles Downtown Women's Center, which looks after homeless women, runs a theater workshop and wants Lohan to share her acting talents.
A spokesperson for the center said the staff was "extremely interested in having Lindsay contribute her talents when she kicks off her 360 hours of community service this week."
The workshop, which is called Dames Investing in Very Authentic Storytelling, or DIVAS, includes around 15 women who meet for two hours each week to learn how to express themselves through performing.
Sources said Lohan was interested in the program, adding that the troubled actress believed it would be "a perfect fit for her community service."
Lohan was sentenced in a Los Angeles court this month to 120 days in jail and ordered to serve 480 hours of community service as a result of a probation violation related to the alleged theft of a necklace from a jewelry store.
She was ordered to 360 hours at the homeless shelter and 120 hours of janitorial work at the Los Angeles County morgue.
The actress was released on bail and planning an appeal against her sentence.