With Joakim Noah’s drug suspension for the first 12 games, the Knicks are granted an extra roster spot and likely will use it on a point guard.

On Wednesday, the Knicks may have found one. They signed former Utah point guard Trey Burke to a non-guaranteed contract. He’s likely not here to solve their point-guard woes long term but will compete with veteran Jarrett Jack to fill that 16th roster spot for the first 12 games.

Burke, the former Jazz first-round pick, was signed also to gain his G League rights and to play most of the time with the Westchester Knicks. But he’ll also make for insurance in case French rookie point guard Frank Ntilikina has durability issues.

Burke, a teammate of Tim Hardaway Jr.’s at Michigan, averaged 10.6 points and 3.6 assists in 267 career games for Utah and Washington from 2013 to 2017. He was the ninth pick of the 2013 draft and an NBA All Rookie Selection. Last season, Burke played 57 games for the Wizards.

Knicks coach Jeff Hornacek was impressed after the first practice, saying Burke picked up so much of the schemes quickly.

“He’s a guy who can penetrate and create things that way,” Hornacek said. “He can set up the offense and break guys down. He’s a good shooter when he gets a good look. And he’s been around the league. He can play.”

Burke said Hardaway is easing his “transition.’’ They were close friends at Michigan.

“I feel my skill set can help this team a lot,” Burke said. “I’ve got ability to make plays for me and others. I can’t wait.”

The Knicks’ point-guard situation is fairly chaotic. With Ntilikina missing three of the first four preseason games, veteran Ramon Sessions is expected to be the starting point guard for the season opener in Oklahoma City, showing he can push the pace in Hornacek’s new offense.

That Ron Baker played at point guard Monday against Houston in his debut was a bad sign for the veteran Jack, who is on a non-guaranteed contract. Between Burke and Jack, the Knicks must decide also who would have a better short-term influence on Ntilikina for the opening dozen games.

The Post has learned the Knicks also have inquired about point guard John Jenkins, who was cut last week by the Hawks. Jenkins played part of last season for the Westchester Knicks, and they own his G League rights already.

The Knicks also have one extra slot for a two-way contract beyond the 15-man roster. That player can shuttle back and forth from the Knicks and Westchester.

But Knicks GM Scott Perry said he may not use it. Rookie center Luke Kornet has one of the two-way slots, but he’s been injured all preseason with a hamstring injury.

Kristaps Porzingis (hip) and Ntilikina (knee) didn’t practice Wednesday, leaving their status still in doubt for Friday’s game against the Wizards.