Lyon would become the latest in a flurry of late signings to bolster the team's bullpen.
Mets general manager Sandy Alderson confirmed the Mets' interest in Lyon on Monday when he said that free agents Michael Bourn and Lyon are essentially the only two players the Mets could add before spring training.
Bourn still appears a long shot, but the Mets remain engaged with agent Scott Boras. Alderson would not say whether there was a drop-dead date for negotiating with the outfielder, although he acknowledged a preference to have a resolution sooner than later.
Barring something that would happen with Bourn, we'll open with the guys we have," Alderson said.