Leicester needed to win the game to clinch the Premier League title, but could only manage a 1-1 draw.
They are still in a strong position to win the league, and will do so if Spurs fail to beat Chelsea on Monday night football.
Lineker has pledged to present the BBC's flagship football programme Match of the Day in his underwear if Leicester win the league, a gamble he made much earlier in the season when bookies considered it a long shot.
Ranieri apparently told Lineker he is not looking forward to seeing this happen, even if he will be savouring a Leicester title win at the time.
Met Claudio Ranieri after the game. He said "Gary, I don't want to see you do MOTD in your pants." Yes you do, Claudio.— Gary Lineker (@GaryLineker) May 1, 2016
If Spurs cannot beat Chelsea on Monday then Leicester will be crowned champions, and whether Ranieri likes it or not, Lineker will be getting ready for a change of outfit for next weekend's Match of the Day, providing BBC bosses agree to it.