The midfielder was speaking after our fourth 1-1 draw on the trot against Bolton at the Lane on Saturday.
We dominated the Barclays Premier League encounter - statistics showed the possession percentage at 68-32 in our favour - but fell behind to a rare Bolton attack less than 30 seconds into the second half.
Steed Malbranque soon equalised and we created chance after chance without finding the winner.
“We played well in the first half, moved the ball, worked the space as best we could and when we went in at half-time we felt we should have created a few more chances and that perhaps we needed to take a few more risks,” said JJ.
“We came out optimistic, conceded an early goal but created enough chances to win it.
“We’re on what I wouldn’t describe as a bad run, but we’ve gone draw, draw, draw, draw and we’re better than that. I thought 1-1 was quite an unfair reflection - Bolton fought hard but we deserved to win.”
JJ is now determined to finish on a high with wins at Reading on Saturday and then the finale against Liverpool at the Lane on May 11.
Jermaine Jenas reflected on our recent run of draws and insisted: "We're better than that."