Chairman Bill Kenwright also thanked the 63-year-old for the work he had conducted at the club's end of season awards on Tuesday - but Evertonians still want Allardyce out of their club over concerns of the style of football they play and mixed results since his appointment in late November. They have a trip to fellow relegation candidates Swansea in midweek, a tie that could prove the turning point in the relegation battle.
"The most disappointing thing is I don't think there's been enough fight in the team, considering the position that we're in".
Southampton, who are 18th in the table, ended an eight-game winless streak with a 2-1 home victory over Bournemouth last weekend and are within a point of safety with three games left in the campaign.
Hughes thinks the relief of last Saturday has raised morale on the south coast but insists it will not lead to complacency with three crucial fixtures remaining.
"For all the emotion that we saw and the fact that we were able to at long last please our supporters we have to do it again and we don't want to disappoint our fans by losing at Everton".
Think you can do better than Lawro?
Stoke City suffer relegation after their loss to Crystal Palace
Stoke City have been relegated from the Premier League after they lost 2-1 to Crystal Palace at the bet365 Stadium on Saturday. West Brom will join the Potters in the Championship next season if they fail to beat Tottenham this afternoon.
Southampton have another tough obstacle to overcome in their fight for Premier League survival this weekend when they face Everton at Goodison Park.
Goal has reported that the Portuguese boss, who was wanted by the Toffees last October after they sacked Ronald Koeman, is high on their shortlist of options if majority shareholder Farhad Moshiri dispenses with Allardyce's services in the summer.
Last weekend they beat the relegation threatened Huddersfield 2-0 at the John Smiths Stadium, following on from a 1-0 win over Newcastle, to make it four games unbeaten in the league.
Everton are aiming to win three consecutive Premier League matches for the first time this season. Southampton have allowed 13 goals in their last six games.
It's a case of now or never for Southampton as they bid to stay in the Premier League.
Probability of away win: 38%.