An eighth place finish would be enough for the Bees, with Brentford currently sitting in 11th place on the Premier League table, five points away from eighth-placed Fulham.
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Frank, ahead of tonight's visit to Leicester City, said: "We want to push and if we can achieve that it would be a fantastic dream and amazing.
"It's about focusing on Leicester to do what we can and win under the floodlights in a game they have to win.
"Let's get three points and maybe down the line we can dream.
"A big target for us is we haven't won two games in a row, so if we want to dream about Euro places we need more consistency."