The chances of Democrats winning the New Jersey Senate race to replace indicted Sen. Bob Menendez (D-NJ) have improved now that a messy primary battle will be avoided following first lady Tammy Murphy’s decision to drop out.

Murphy’s announcement came one day ahead of the filing deadline, leaving Rep. Andy Kim (D-NJ) as the all-but-certain Democratic nominee after the embattled incumbent Menendez announced he would not run for reelection as a Democrat last week. But Menendez also left the door open to running as an independent.