CHICAGO — It looks like RJ Barrett won’t be singing the Memphis blues.

According to an NBA source, the 6-foot-7 Duke swingman prefers if he drops past Memphis, to No. 3 or No. 4, to get to play with either the Knicks or Lakers.

Memphis has the No. 2 pick, but the source told The Post the Grizzlies are leaning toward Murray State point guard Ja Morant.

The Knicks have a lot of Morant fans in their organization too, but they might not have the chance to take him unless they swap picks.

Barrett’s father, Rowan, played for St. John’s, and his mother, Kesha, is a Brooklyn native and ran track for the Red Storm in the 1990s.

Rowan used to take RJ to the New York playgrounds to work on his game because of the higher competition. Memphis is the NBA’s second-smallest market.

Barrett left the NBA’s draft combine Wednesday and did not make himself available for the standard media press conferences. He is training in Los Angeles.

The Lakers have the fourth pick, but it is tough to imagine the Knicks letting him fall to the purple and gold unless they trade down.

Barrett met with just two teams — the Knicks and Memphis. He can probably meet with the Lakers anytime in Los Angeles, which is where he will be based.

Duke small forward Cam Reddish, who also met with the Knicks at the combine, said Barrett’s the real deal.

“He was a good teammate,’’ Reddish said during his combine press conference. “I’m sure you guys all know about RJ. He’s obviously a phenomenal player, a phenomenal talent, a fierce competitor. He can do it all. He’s a valuable player. I’m sure he would [like New York].’’

After a poor postseason, Reddish is considered to likely fall in the 5-10 draft range. It’s hard to imagine the Knicks trading down unless a whopping offer comes their way.

The Knicks are covering all their bases and will interview the NBA maximum 20 players at the combine. They also met with Texas Tech shooting guard Jarrett Culver, an NCAA finalist who could go as high as No. 4. De’Andre Hunter, also a top-five candidate, skipped the combine.

Canada continues its rise in turning out NBA products. Virginia Tech’s Nickeil Alexander-Walker, cousin to Clippers’ Shai Gilgeous-Alexander, played with Barrett in Canadian national programs.

“He’s an elite scorer and he’s shown it at the highest level in the ACC,’’ Alexander-Walker said. “He’s going to be a competitor — a guy with aggression, a guy who can score the ball. RJ’s a very confident kid. Going to New York, you need to have self-confidence. He’ll definitely bring happiness to Knicks fans.’’

Morant declined to get into specifics about his meetings with the Grizzlies and Knicks, other than to praise David Fizdale as “a great coach.’’

“All my meetings [Wednesday] were good,’’ Morant said. “I felt like I got to learn a lot about the teams I met with and they learned a lot about me.”

The Grizzlies believe they’ll have an easier time trading point guard Mike Conley Jr. this summer. A lot of teams will have cap space after being shut out of the star market. The Lakers could be one of those teams looking to use cap space to make a trade.

Memphis feels Morant is a good combo with second-year man Jaren Jackson.

“He’s a great player,’’ Morant said of Conley. “I understand that he’s the highest paid point guard in the league. He’s that for a reason.’’