Claudio Ranieri has told Leicester fans that the team can still improve after they won their first top-flight title in their 132-year history.
"My message to the fans is now to keep going, we want to improve a lot," he told reporters.
Former striker Gary Lineker believes Leicester achieved the impossible after the Foxes were crowned Barclays Premier League champions.
Lineker will now have to present an episode of Match of the Day next season in his underpants following a pledge made on Twitter after the Foxes' 2-1 win over Chelsea in December.
Lineker told Radio 5 Live: '''I just think it's generally the biggest sporting shock. I can't think of anything that surpasses it. When it's your own team it's too extraordinary. Too difficult to put over in words.
''To be honest I got a bit emotional at the end of the game. I just couldn't hold it back. It was quite hard to breathe the last few minutes to be honest.
''I've followed them since I was a little kid...I saw them in a cup final - lose - that was the closest we ever got to big glory. Won the league cup a couple of times but this is just something else. This is actually impossible.
''There were no odds that I would have taken at the start of the season. No odds. You could have given me 10 million to one and I'd have said 'Nah, it's a waste of a quid'.
''It's extraordinary. I'm from there and I went to play for them for a couple of years. I even kind of part owned them for a while when they were in trouble.
"To see where they are now and to enjoy this moment especially with my family, it's incredible.''
Leicester City manager Claudio Ranieri is confident of keeping his star names at the King Power Stadium next season.
Leicester City manager Claudio Ranieri says his side's Premier League title victory will take time to sink in.
Vardy lookalike Lee Chapman, who made it onto the Leicester City team bus, tells ITV News what the footballer told him.