The forward can become a restricted free agent July 13.
"I don't think it should be an issue, you know?" Laine said. "They have expressed they want me here. I've said the same thing. So, you know, the feeling is mutual. Just figure out the term and the money and all that, and I think we should be fine."
The 24-year-old had 56 points (26 goals, 30 assists) and was minus-7 in 56 games for the Blue Jackets this season, which was marred by injuries and the death of his father, Harri, on Nov. 21. Laine missed 19 games from Nov. 6 to Dec. 16 with an oblique injury and the final seven games with an upper-body injury.
He said his teammates are a reason he would like to stay with Columbus.
"Everybody has been helpful with all that I had this year," Laine said. "I just always wanted to come back as soon as possible to these guys, and they have made it a lot easier for me, so I'll always be thankful for everyone here.
"That's definitely a part of it, a big part of what I love about this team. It's like a big family, family atmosphere, everybody cares about each other. That's how it should be."
Laine accepted a one-year, $7.5 million qualifying offer from the Blue Jackets as a restricted free agent July 28, 2021. He and forward Jack Roslovic were acquired in a trade from the Winnipeg Jets on Jan. 23, 2021.
Selected No. 2 by the Jets in the 2016 NHL Draft, Laine scored at least 30 goals in three of his four full seasons with Winnipeg. But in Columbus, Laine struggled adjusting to a coaching staff that included Brad Larsen, then an assistant, and was benched by coach John Tortorella last season, when he had 21 points (10 goals, 11 assists) and was minus-29 in 45 games with the Blue Jackets.
Larsen replaced Tortorella as coach prior to this season, and Laine said Saturday he and Larsen have a good relationship.
"I really liked how he handled the whole team," Laine said. "As a team, we couldn't get the job done, but I felt like he handled every player, not the same way but kind of differently, but yeah I was really happy playing for 'Lars' and hopefully play for him in the future too."
Columbus (37-38-7) finished sixth in the Metropolitan Division this season and failed to qualify for the Stanley Cup Playoffs for a second straight season.
Blue Jackets captain Boone Jenner said Laine was different this season.
"He had a great year," Jenner said. "Right from Day One of camp he came in and looked like he was ready to go, and obviously, that carried on. It's fun playing with him. We built some chemistry and had some fun nights. I know he's looking to get better too. We're all looking forward to growing here and going in the right direction."
Linemate Jakub Voracek said Laine enjoys being with the Blue Jackets on and off the ice.
"I never met him. I never spoke with him (before the season)," Voracek said. "When the season went on, we became really close and [he became] a good friend. He's a really funny guy that as soon as he trusts you and he's able to open up to you, he's fun to be around.
"I'm sure he's really comfortable here. He likes it here and it's going to be fun to watch him."
Roslovic said he is confident Laine and the Blue Jackets will finalize a contract.
"He's a pretty simple guy," Roslovic said. "He likes anywhere, but I think he loves it here. I'm excited to have him back, hopefully."
