The Foxes sit in third place in the Premier League, although their hopes of qualifying for Europe's top competition have been jeopardised by a poor run of form, but Rodgers believes his side will enough to achieve their target.
Speaking after Leicester's 2-1 loss to Everton on Wednesday (01.07.20) evening, the 47-year-old manager said: "How we have performed for the best part of this season has got us into a strong position.
"Our form hasn't been the best for a period now but we still have it in our hands to achieve what would be a dream for us, getting into the top four. But we can only get that if the performance is right."
Leicester made a disastrous start at Goodison Park, falling 2-0 behind in the opening 20 minutes before replying with a Kelechi Iheanacho goal in the second half. The improved second-half display left Rodgers with a sense of frustration.
He said: "We were much much better in the second half and that makes it equally frustrating because we set out to start with that tempo.
"That is something that has crept back into our game - we haven't started quickly enough.
"After controlling possession we found ourselves a goal behind but it was early, we could get ourselves back into the game. But I thought the penalty was harsh and in this environment it can be difficult to come back from 2-0 down."