The 41-year-old is still looking to bolster his squad should a good opportunity present itself, and rejected claims that the league is less enticing without Rangers.
Celtic boss Neil Lennon believes that the club's reputation will continue to attract talented players, despite the Scottish Premier League becoming less competitive after Rangers was denied reentry to the division.
The Gers financial instability led new owner Charles Green to reform the outfit as newco Rangers, but the club now find itself having to play in the Scottish Football League after the top tier clubs voted against its readmission.
Lennon recognizes that the derby matches between the two Glasgow-based rivals are the key attraction to the country’s domestic game, but is certain the SPL’s pulling power has not diminished.
"We are a big name, we've got a big reputation and obviously progress in Europe would enhance that,” Lennon told reporters.
Doubts still remain though, with Ki Sung-Yueng and Victor Wanyama both having been reported as indicating that they would like to move to a higher-profile league this summer.
The manager was not happy with their comments, but did admit that every player has a price and sometimes selling is the right thing for the club to move forward.
"I'm a bit annoyed because when players are on international business, they shouldn't be talking about club business," the Scot added.
"But it was the same with Aiden McGeady a couple of years ago. He was a fabulous player here and a very important player but we got an offer that was good business."
"Every player has his price and sometimes you have to move players on for their future and the benefit of the club."
The 41-year-old has already secured the services of goalkeeper Fraser Forster on a permanent basis, after the former Newcastle man spent last two seasons on loan at Parkhead.
Lennon revealed that although he is not looking for a major overhaul at the club, if the price and player is right then he will consider more signings.
"We have trimmed the squad considerably. We don't want to make wholesale changes,” he stated.
"We're always looking, if we feel we are getting a good player for value for money, we will always look at it."