Tigers suffered a first league defeat of 2014 at Harlequins on Good Friday, and return to action with a trip to Sale in Round 21.
“We should have played better, we had opportunities and didn’t take them,” said Tigers director of rugby Cockerill after the 24-20 loss at The Stoop.
Tigers led 10-0 in the opening five minutes with Vereniki Goneva’s 11th league try of the season, but Quins full-back Mike Brown claim the decisive score with just 10 minutes remaining.
“It was an exciting game,” said Cockerill. “We were in it right to the end. We made mistakes, they made mistakes, it was that sort of game.
“Quins are a good side and I thought we soaked up their pressure really well, the defence was strong, but we were inaccurate in possession. You have to control the game a bit better. But we take the point and move on.
“The result probably puts us out of second place but we are well in the semi-final frame. We will regroup and go to Sale in two weeks and have to be better than we were tonight.
“We played well at times, but if you are inaccurate at the set-piece and give away penalties and field position you get what you deserve. Our indiscipline and inaccuracy cost us.”
Sale Sharks booked their place in the European Rugby Champions Cup for next season with a 55-12 away to Exeter Chiefs in Round 20 on Saturday.
Tigers return to Welford Road for the sell-out Round 22 fixture against Saracens on Saturday, May 10.