Leicester manager Craig Shakespeare insisted he was satisfied with a point despite watching his team squander a two-goal lead when they drew 2-2 at Crystal Palace.
"It was a great point for us, a fantastic point", offered Allardyce, with his side now seven points from the bottom three with a game in hand and a considerable advantage in terms of goal difference.
The Palace manager was given further cause for concern just six minutes into this game when Leicester took the lead in a manner that infuriated Allardyce.
"We need to be competitive against Crystal Palace as we still need points".
It was at that moment where the game burst into life as Yohan Cabaye pulled one back nearly immediately, which rallied the home fams to push their team for an equaliser.
Leicester have the chance to make amends and extend their incredible European run when they host Atletico in the second leg on Tuesday.
It appears that spirits within the group are high and an added joie de vivre in their play is looking likely to help Palace survive this season. Leicester: Kasper Schmeichel 6, Danny Simpson 5, Robert Huth 7, Yohan Benalouane 6, Christian Fuchs 7, Marc Albrighton 6, Andy King 6, Wilfred Ndidi 6, Riyad Mahrez 8, Jamie Vardy 8, Leonardo Ulloa 6.
Wilfried Zaha has provided nine goal assists in the Premier League this season, equalling the record for a Crystal Palace player in a single season set by Wayne Routledge in 2004-05.
The Belgian worldwide was denied, however, when Kasper Schmeichel raced off his line to close down the angle and the striker saw his close-range shot deflect to safety off the legs of the Leicester keeper.
Shakespeare was also relieved to discover defender Yohan Benalouane had not suffered a significant injury, despite being forced out during the Palace game.
"It kept our run going, showing just how good we are at the moment".
Physically and mentally we are very strong, and the mental side showed by coming back today to get back to 2-2.
We should be pleased with a point, probably.
"Cabaye, too. We are a threat". But we did that and we came back from 2-0 down.
Andros Townsend believes the Crystal Palace fans have been incredible ever since he came on as a substitute in the 4-0 humiliating defeat to Sunderland.