Months after their first proposal hit a wall in the City Council, proponents of an effort to legalize so-called accessory dwelling units (ADUs) are making another push, this time with a similar proposal that only targets a handful of neighborhoods.

Officials in Lightfoot’s administration told aldermen in a letter dated Thursday that they plan to introduce the substitute ordinance to a joint meeting of the council’s Committee on Housing and Committee on Zoning, Landmarks and Building Standards on Tuesday, setting it up for potential approval by the full council on Wednesday. The new draft would create at least five “pilot zones” where the added units would be allowed.