Winnipeg had a franchise-record 114 points last season, second in the NHL behind the Nashville Predators (117). Winnipeg won Game 1 of the conference final against the Vegas Golden Knights but lost the next four.
Scheifele, who had 20 points (14 goals, six assists) in 17 playoff games, said it's time for the Jets to take the next step, but he knows it won't be easy.
"I think we have to have that thought in our minds, that we are contenders," he said. "But at the same time we're not the new Winnipeg Jets team that just entered the League any more. We're a team to be reckoned with. Teams are going to put their best foot forward against our team.
"In our minds we have to understand that nothing is going to be given to us just because we made the conference final last year. No one cares. We haven't done anything. We have to be prepared to battle each and every night if we want to get to where we want to go."
Scheifele, who agreed to terms on an eight-year contract with an average annual value of $6.25 million on July 8, 2016, said he was happy for Winnipeg forward Blake Wheeler, who signed a five-year contract extension with an average annual value of $8.25 million on Sept. 4, and has no issue being paid less than the Jets captain.
"There's not one second in my mind where I say, 'Oh shoot, I regret signing that deal,'" said Scheifele, who had 60 points (23 goals, 37 assists) in 60 games last season and has 287 points (113 goals, 174 assists) in 366 NHL games. "I'm super happy with the deal I got."