Gov. Chris Christie temporarily appointed New Jersey Attorney General Jeff Chiesa to fill the seat on Thursday, pending a special election in October.
Other prominent Democrats and Republicans in the state have expressed interest in running, including Newark Mayor Cory Booker.
Mason has run for higher office than councilwoman before; she lost a mayoral bid to the current mayor, Dawn Zimmer, in 2009. She has been a vocal opponent of Zimmer since then, although in a letter that was submitted to the Hoboken Reporter earlier this week, she pledges to work with Zimmer on the issue of helicopter noise.
The Star-Ledger describes her as "one of the state’s most prolific donors."
The newspaper says that she "has been reaching out to leading Democrats expressing interest in the seat, but she has not decided whether to run, according to two sources familiar with Mason’s thinking who requested anonymity because they are not authorized to talk about internal deliberations...[Mason is] a former president of the New Jersey Foundation for Open Government (NJFOG)and a founding member of the Hoboken-based nonpartisan civic association People for Open Government."
Mason declined to comment for the piece.
Candidates must collect 1,000 signatures on petitions by next Monday at 4 p.m. if they want to run.