It is unclear at this point if the New York Knicks plan to offer him a second 10-day deal.
Kurt Rambis has said that New York's front office is looking at several players to fill the 15th roster spot, including Fredette.
"There's a lot of names that have been bantered about," Rambis said. "... We don't know what's going to happen in the future but those are all names that have all come up."
The Knicks had not reached out to Lawson as of Tuesday evening, according to league sources with knowledge of the situation. One Lawson friend suggested that the Knicks' triangle offense wouldn't be an ideal fit for the guard.
Other options for New York include free agent Tony Wroten and Ray McCallum, who was released by San Antonio late last week. It is unclear at this point if McCallum has cleared waivers. The New York Daily News reported Tuesday that the Knicks recently met with Wroten.
The Knicks could also choose to give Fredette another 10-day contract. The guard played a total of five minutes in five games during his first 10-day contract.
"I've had a great experience being here with the Knicks. It's a great organization, and an organization I grew up watching and loving. I definitely have had a great time," Fredette said after scoring four points against Portland -- a stint that included a testy moment with Meyers Leonard at the end of the game. "... I'm just going to work as hard as I can every day and take it day by day. You never know what's going to happen next so it's not necessarily in my control."
The Garden crowd chanted Fredette's name several times during his four home games, including in the fourth quarter of Tuesday's blowout loss to Portland. Fredette, a former first-round pick and college star at BYU, said he appreciated the support but hoped it wasn't a distraction to the organization.
"I definitely have had a great time and appreciate the fan support, but at the same time, I don't want to be a distraction, and don't want that to be a distraction to anybody, none of my teammates, my coaches, myself," Fredette said. "But I think we do a good job just focusing on the game and focusing on the court."