The Croatian lasted until the 75th minute before he was substituted off and replaced by Ramrio Funes Mori, just minutes before Idrissa Gueye scored Everton's second goal. "We had a really hard start to the season and that probably knocked our confidence a bit, but we're ending it well".
This referred to a survey circulated by the club asking supporters to assess the performance of the manager.
"Our efforts, from the players particularly, have been fantastic", Allardyce told the Daily Mail following Saturday's win at the John Smith's Stadium.
Despite this, the former England manager has come under increasing criticism in recent weeks, as fans remain dissatisfied with the style of football on display at Everton.
Everton are now comfortably eighth in the league but Allardyce's future is still unclear despite his insistence he is making plans for next season after a meeting with owner Farhad Moshiri in London on Thursday.
"What can I say when you've got 14 points out of seven games when we were in a position of difficulty when I arrived?" The players gave everything on the pitch today, as the fans did too, but in the end we were beaten by quality.
"We got stronger and stronger".
After the first 10 games of the campaign the club were in the relegation zone and, when he first took to the dugout in December - a 2-0 win in the reverse fixture against the Terriers - they were only five points above the drop in 13th.