Osman, 31, admitted the slick way Everton have been playing as they climbed to second place in the table has been appreciated in the dressing room.
He told evertonfc.com: "We're playing some decent football at the minute and hopefully the fans are enjoying it - we're enjoying playing it.
"We don't want to get carried away. Things can change so easily in the Premier League and you saw in the second half (against Southampton) that it wasn't as easy on the eye as in the first but we had to grind it out and we did that.
"I'm not sure what the key is to maintaining it. I'm sure the manager is trying to figure it out too but we have just got to keep believing in ourselves and stay confident."