The Foxes defeated Swansea City 4-0 on Sunday to move eight points clear of second-placed Tottenham and within touching distance of the Premier League title.
After yet another triumph, Ranieri suggested that the East Midlands outfit were looking ahead to realising a remarkable dream as they prepare for their final three fixtures of the campaign.
"I talked to my players before the match and I said we had a dream so far, now make a dream reality," said the Italian.
"Now is the right moment to push. If Tottenham are better than us, okay, but we have to fight because we will never have this fantastic moment.
"Now there are only three matches, we know they are very important for our history but for this reason we give everything. We play with our hearts and it's difficult to beat those who play with the heart and soul."
Leonardo Ulloa scored a brace between goals from Riyad Mahrez and Marc Albrighton as Leicester secured their 22nd victory of the season.