The France international was speaking a day after Lyon were held to a goalless stalemate by Ajax Amsterdam that leaves the Dutch side needing just a draw from their final Group D match to reach the last 16 along with runaway leaders Real Madrid.
Lyon (5) are three points behind Ajax (8) and have a vastly inferior goal difference, so even a big win at Dinamo Zagreb in the final round of matches may not be sufficient enough to claim second place in the group.
"We have one foot in the Europa League," France keeper Lloris told reporters of the side's probable fate resulting from a third-place finish in the group.
"It's a disappointment. When you have ambition, you have to do better than that," said Lloris, who also pulled off a couple of superb saves.
"We should have played with more ambition and be a little bit meaner to go and get a good result."
"We have to win this game for our public image," he said.
"Miracles are possible but it will be difficult."
