AL East Notes: Girardi, Lester, Rays, Price, Janssen

The Yankees have made a substantial offer to keep manager Joe Girardi, Andrew Marchand of ESPN New York reports. A source tells Marchand that Girardi could think about the offer through the weekend. "We are going to give him a real good reason to stay," says GM Brian Cashman. Rumors have connected Girardi to the Cubs' managerial job, which might be a possibility if he chooses to leave. The Nationals and Reds also have managerial openings that Girardi might find attractive. Girardi is currently under contract with the Yankees through the end of October. Here are more notes from the AL East.

• Last offseason, the Red Sox and Royals discussed a possible trade involving Jon Lester and Wil Myers, Lester tells WEEI.com's Alex Speier. "[Royals manager Ned Yost] is actually a pretty good friend of mine. I flat-out called him one day and was like, 'Hey, what do you got on this?' He said, ‘Yeah, we’re trying to make it work,'" Lester says. One reason the trade ultimately didn't happen is that the Royals finally traded Myers and three other players to the Rays, the Red Sox's current ALDS opponent, for a package headlined by James Shields.
• One assistant GM proposes that the Rays could trade David Price to the Dodgers for Corey Seager, Joc Pederson, Julio Urias and Chris Withrow, Peter Gammons writes. That would give the Rays two very good hitting prospects in Seager and Pederson, a very young arm in Urias, and a big-league reliever in Withrow. MLB.com ranks Pederson and Seager the top two prospects in the Dodgers system, with Urias at No. 4.
• The Blue Jays are "sure" to pick up their $4MM option on closer Casey Janssen, writes Shi Davidi of SportsNet.ca. Janssen is coming off a strong season, so the decision would seem to be an easy one. Davidi notes that Janssen would likely make twice as much on the open market, and win a multi-year deal to boot.