But the midfielder admits the acid test will be for David Moyes' side to maintain their current high standards over an entire campaign.
The Toffees are lying fifth in the Barclays Premier League and are through to the fourth round of the FA Cup after Monday night's 5-1 win at Cheltenham.
But too often they have failed to fire on all cylinders for an entire campaign and often have had to play catch-up after a poor start.
Osman, who was among the scorers at Whaddon Road, said: "I would say this is probably the best Everton team in my time here.
"We've had some good teams over the years and some good seasons where we've finished high up in the league and got to cup finals.
"But, with the football we are playing and the games we are winning, I'd have to say this is the best team.
"We've got a bit of variety to our game. We pass but we are happy to go direct as well and mix the game up. That's difficult to defend against I suppose.
"We hope we are getting closer to winning a trophy. We've been developing as a team and we are finding the way to win games now.
"We drew a lot at the start of the season. Hopefully we've found a way to turn them into wins and that will put us in good stead until the end of the season."