Celtic chief executive Peter Lawwell is hoping Roy Keane and John Hartson will lead the club into the Champions League next season.
Hartson intimated he could leave Parkhead in the summer after hitting the goal against Hearts which guaranteed them the title.
The Welshman still has a year remaining on his current contract but plans are in place to sit down with the striker and his agent to discuss his future in the coming months.
'We haven't spoken yet to John,' said Lawwell.
'We had a bid for John in January and we said he wasn't going and John didn't want to go.
'He was as motivated as anyone here to get the title which we have now done.
'We will sit down with John and his representatives in the next couple of months.'
Keane also has another season on his contract but he too has suggested he could walk away because of injuries.
But Lawwell added: 'Roy has got another year to go.
'There has been a lot of speculation around that but we're hopeful.
'He appears to be enjoying it. He loves the club and he enjoys being around here.'
Lawwell also hailed the impact of Gordon Strachan and is adamant he should be named manager of the year.
He told Sky Sports News: 'The Celtic job is a massive job as is the Rangers job.
'I don't think people can really appreciate how big it is unless you are in the job or at close proximity.
'You have to win every week here. You've got huge expectations from the supporters and knew he was following Martin O'Neill, who was fantastic here and is a Celtic legend.
'But he was prepared to take on that task.
'In terms of manager of the year in Scotland it should undoubtedly be Gordon Strachan.
'He's done a fantastic job and I am really delighted for him, his family and his coaches.'