Now that D.C. Mayor Muriel Bowser has allowed one of the nation’s most generous paid family leave plans to become law without her signature, the lawmaker who originally proposed paid sick leave in D.C. is open to tweaking it.

D.C. Councilman David Grosso, I-At large, told me he is already considering changes that could assuage businesses with concerns about how the law will work.

Grosso said he has gotten behind the idea of shifting the administration of the paid leave law from the District to a third party from the private sector. As written, the bill now will require the District to oversee the program and create a $40 million to $80 million technology infrastructure to administer it — something the Bowser raised as a concern in a letter this week.

“Businesses were worried about government administration and operations,” Grosso said. “They brought up the nightmare of dealing with city government.”

Under the legislation, employers in D.C. will be required to offer eight weeks…