News outlets report undergraduate students will vote Thursday on a "Reconciliation Contribution" in the form of a $27.20-per-semester fee.
The students are considering a fee benefiting the descendants of enslaved people.
"Our students are contributing to an important national conversation and we share their commitment to addressing Georgetown's history with slavery", Olson added.
The move comes as Democratic presidential candidates debate whether the United States should provide compensation to the descendants of African-American slaves.
University records show Georgetown Jesuits initially kept 272 men, women and children on plantations in Maryland to sustain the university.
Several Democratic candidates for the White House, such as former Mayor Julian Castro, former Rep. Beto O'Rourke, and Senators Elizabeth Warren and Kirsten Gillibrand, have referred to the issue and have been in favor of some form of reparation.
Students at Georgetown University passed a referendum this week that seeks to address the fact that the institution once owned slaves.
"The students remembered, recognized, and re-ignited awareness about descendants who literally made it possible for today's Georgetown University", Lee Baker, a GU272 descendant, told The Hoya.
"There are many approaches that enable our community to respond to the legacies of slavery".
Tuition at Georgetown, a private school in Washington, D.C., costs about $55,000 a year.