Charlie Mulgrew has urged Celtic to show they are progressing by reaching the group stage of the UEFA Champions League next season.
The Hoops have already secured the SPL title and go into Thursday night's home game against St Johnstone 21 points clear of Rangers, who were deducted 10 points for entering administration in February.
Neil Lennon has already spoken about adding three or four players to his squad in the summer, ahead of two Champions League qualifiers at the start of next term.
And Mulgrew believes Celtic can compete at such a level after an encouraging Europa League campaign in which they finished third in their group.
"Each year you want to do better," said the 26-year-old defender.
"Next year we would look to win the league again but a run in the Champions League would be great.
"It is important to do everything we can to prepare for the qualifiers and get in among that again. That would be massive for everyone here.
"I'm sure the manager will look to bring one or two in.
"But there is plenty of quality in the changing room at the moment although time will tell whether it will be enough to get us through.
"I think we proved this season in a tough group that we can compete in Europe.
"Apart from one or two decisions that didn't go our way, we could maybe have qualified for the last 32 of the Europa League.
"So, of course, if we believe in ourselves and if we prepare right there is no reason why we can't but we need to see who we get drawn against and take it from there."
It has been a remarkable season for the former Wolves and Aberdeen player, who started his career at Celtic.
He won his first Scotland cap in February, playing at left-back in the 1-1 friendly draw in Slovenia.
Mulgrew picked up the Parkhead club's player of the year award on Sunday night, hours after scoring his first Old Firm goal in the 3-0 win over Rangers at Parkhead, and is on the shortlist to win the same award from his PFA Scotland colleagues this weekend.
Speaking at the club's Lennoxtown training ground, he said: "Sunday was obviously a great day all round, beating Rangers and then getting the club player of the year. I was delighted.
"I was delighted to be nominated for PFA award and we will see what happens.
"Scoring against Rangers was the one thing I hadn't done, it was always in the back of my mind, and to do it was massive.
"It was something I always dreamed about doing and it was a great feeling.
"But there is definitely room for improvement in my game.
"I am always critical of my performances and tend to look at the things I could do better so I will be like that next year and hopefully kick on again."