An emotional Claudio Ranieri said “the fans can dream” but added Leicester’s players must not get carried away after edging closer to the Premier League title with a 2-0 win at Sunderland.
The Italian was visibly moved as he celebrated a result that leaves the Foxes needing three wins for the title.
“You make this job for the emotion you feel inside but it is difficult for me to tell you what kind,” Ranieri said.
“The fans must continue to dream but we must be concentrated and focused.”
Speaking to BBC Sport he added: “Now we have two tough matches at home, [qualification for] the Champions League is on the table and we have to keep it. We don’t achieve nothing yet.
“We have to stay calm, be focused, strong, solid and keep going. Today we made some mistakes, we still have to look at what is not right.”
Later on Sunday, Tottenham, who are seven points behind Leicester in second, beat fifth-placed Manchester United 3-0 at White Hart Lane, meaning Ranieri’s side have all but qualified for next season’s Champions League.
The Foxes now cannot finish lower than fourth, but would miss out on a place in Europe’s premier club competition in the unlikely scenario that Manchester City win this year’s edition, Liverpool win the Europa League, and both those teams finish outside of the top four.
Leicester, who this time last season were fighting against relegation from England’s top flight, are 13 points clear of third-placed Arsenal, who have played one game fewer.
They play West Ham, Swansea, Manchester United, Everton and Chelsea in their last five matches.