Bakal said the downstairs space, once completed, will likely be the primary social center for the group.
"[The house] will be a positive thing, if used in a good way, for both the fraternity and the community."
Harvard administrators, however, have expressed concern over the establishment of a fraternity house at Harvard.
Last month, Dean of Students Archie C. Epps III described the fraternity's decision to rent a house as an "unfortunate development."
But the administration has not taken any actions against the fraternity nor has Doolittle spoken with the administration.
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Still Doolittle is "not unconcerned" about the administrations reservations.
He declined to comment further on any tensions between the College and Sigma Chi.