The Merseyside club, which faces second-place Chelsea at Anfield on Sunday, can guarantee a first domestic crown since 1990 by winning its remaining three games.
Asked whether not winning the league from Liverpool's current position would represent failure, he replied: "No, not at all. Whatever happens with us, we will have had a brilliant season. I would be lying if I said I thought at the start of season we could be top of the table at this stage.
"Pressure? That's what they have at Man City and Chelsea, where they are expected to win the league. I'm enjoying being top of the league. I have never slept better."
The buildup to Liverpool's meeting with Chelsea has been dominated by speculation over the latter's prospective team selection, with Jose Mourinho suggesting he will field a weakened side.
Yet Rodgers does not believe Mourinho has given up hope on overhauling Liverpool in the title race.
He added: "Whatever team Chelsea put out [on Sunday], it will cost more than ours and be more experienced than ours. Jose's a winner — he won't give up. He knows me well enough to know [his comments in the buildup to the game] wouldn't bother me one iota."