Lawson, though, who is a free agent after this season, told Feigen on Saturday that he doesn't want to go anywhere.
"I like the city, I like my fans. I mean, I like my teammates. It's a good fit. I want to be here," Lawson said. "I'm just happy here. My role, I'm going to keep playing hard every day. I'd rather stay here."
He's happy despite putting up career lows in points, field-goal attempts and percentage on a Rockets team that has been dysfunctional at times this season.
After 11 games, Houston fired head coach Kevin McHale and recently tried to trade center Dwight Howard. It was revealed on Thursday that All-Star guard James Harden "pushed" management to fire McHale and deal Howard, which was affecting the locker room, according to CBS Sports' Ken Berger.
Under interim head coach J.B. Bickerstaff, the Rockets are now 29-29 and currently sit in the eighth and final playoff spot in the Western Conference. Lawson hopes that there is postseason play in his future, per Feigen:
Hoping things turn around, we get into the playoffs and make things happen. Up and downs, it's a little frustrating there's always some types of talks. I'm glad to be here. Just going to play hard and see what happens. ... I have no idea, even just on the floor and as a team, we're buried as the eighth seed, but I feel like things are moving in the right direction. I just try to fit in and make things happen.
Lawson could be pledging his loyalty to a Rockets team that traded for him during an offseason in which he was arrested on DUI charges. It was the fourth time he was caught allegedly drinking and driving.
With the Rockets interested in buying out Lawson now, though, they might not want to pursue him for a new deal in the offseason. If that's the case, then Lawson will have to try to find a new home after a down season.
Stats courtesy of Basketball-Reference.com.