Andy Halliday is urging his title-winning Rangers team-mates to push for the Premiership crown next season.
Rangers wrapped up promotion with a 1-0 win over Dumbarton.
“We’ve got to be challenging for the title; it’s as simple as that,” said midfielder Halliday.
“And that’s not me being arrogant or disrespectful to Celtic at all, they are four in a row and going for another title, but you can’t be at a club like this and be happy with second.”
James Tavernier scored the game’s only goal at Ibrox on Tuesday, taking Rangers to an uncatchable 79 points with four games remaining.
“It is an incredible achievement,” added Halliday. “Obviously it was our main goal since the start of the season.
“We feel we have been top of the season since day one of pre-season and have only been going one way and that is forward.
“Now it’s full steam ahead to the end of the season because we still have a lot of big games and then in to the Premiership, back where we belong.
“I think we are getting better and better.”
‘First step’ for Warburton
Meanwhile, manager Mark Warburton wants to finish the campaign in style, with further silverware up for grabs.
“It is the first step and the worst thing we can do is stop moving forward,” said Warburton.
“We want to hit 91 points. We want to win the league in style, convincingly and get momentum for next season.”
The Light Blues will now prepare for life in the Premiership although first they have next week’s Challenge Cup final against Peterhead at Hampden, followed by a Scottish Cup semi-final against Celtic at the national stadium, before they finish their league season.
“Enjoy the good times, we have a big game on Sunday, a packed Hampden with 95 per cent Rangers fans, hopefully we will perform well and win the trophy and play well the following week,” added Warburton.
“We didn’t want to limp over the line, rely on someone else losing a game, we wanted to win it in style. We are clear now, we have four more games to play and we want to win them all.
“The pressure is always there at Rangers and if we drop our standards we will get hurt.”
Hibernian head coach Alan Stubbs, whose side had drawn level with Warburton’s men at the Championship summit before losing 4-2 at Ibrox in late December, congratulated the league winners.
“Congratulations to Rangers,” he told BBC Scotland after his team defeated Livingston 2-1. “They have been the most consistent team over the season. The first thing I will do in the car is to phone Mark Warburton and tell him.”