Lombardi has been searching for an offensive-minded left wing for the club's first or second line, but salary cap restraints and high asking prices have prevented him from pulling the trigger on a deal.
The Kings traded tough guy Daniel Carcillo to the New York Rangers on Saturday, freeing up a little bit of extra cap space -- the team now has roughly $1.7 million to play with, a figure that will increase as the season progresses.
Scoring has been a challenge for the Kings this season, as Sutter has continuously shaken up his line combinations in an attempt to create some kind of offensive consistency.
The Kings rank 22nd in the NHL in goals-per-game (2.49), the lowest figure amongst any team, from either conference, currently in a playoff seed.
Lombardi wants to acquire a left-handed shooting winger to play on one of his top-two lines and has been working the phone lines, but a deal may not be imminent.
It's believed the Kings are willing to move the likes of forwards Kyle Clifford, Matt Frattin and Trevor Lewis, as well as defensemen Alec Martinez and Jake Muzzin, and have draft picks and prospects to trade.