CBS says she will pay Letterman a visit on the April 9 telecast.
It will be her first appearance on "Late Show" in six years.
Lohan is promoting her guest appearance on the FX sitcom "Anger Management," which will air two days later.
On that episode, she will be playing herself, but as a therapy patient of series star Charlie Sheen.
Lohan and Sheen have also recently worked together in the upcoming "Scary Movie 5," which is opening later on this month.
The troubled 26-year-old actress is currently facing 90 days in rehab as part of a plea deal in a misdemeanor car crash case in California.
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