Unbeaten in five Premier League matches, the Saints will have their backers at 11/4 (3.75) to win on home soil here, despite the hosts' support likely to be in the mood for revolt.
Adkins had secured back-to-back promotions to drag Southampton back to the Premier League from League One over the last two years, but after the 2-2 draw at Chelsea owner Nicola Cortese wielded the axe with fans shocked at the decision.
David Moyes has revealed he was caught cold when hearing the news, having reserved praise for the job his former top-flight colleague had been doing at St Mary's Stadium.
The Scottish boss will be hopeful of taking advantage of the situation now however, as his team eye their sixth win in nine.
Everton - always a threat with Marouane Fellaini partnering Nikica Jelavic in attack - can be backed at evens (2.0) for victory, with the draw available at 12/5 (3.40).
The Toffees have a strong record against Southampton, unbeaten from their last six fixtures and picked up a point on their two most recent visits to the south-coast club.
Given the form of the home side, their odds to win would normally be appealing, but it's hard to gauge what effect the departure of Adkins will have on the team.
Everton haven't lost an away game in five, and would therefore seem an assured selection in the draw no bet market at an albeit short price of 2/5 (1.40).
One bet that looks nailed on given the statistics is both teams to score, available at 6/10 (1.60).
Before Everton's 0-0 stalemate with Swansea last weekend, this bet has come in during the last 18 matches the Merseyside club have played in.
Southampton have scored in 11 of their past 12 home games, and both sides found the net in this fixture earlier in the season when Everton prevailed 3-1.
For the value bet, Rickie Lambert to score first is worth a punt at 6/1 (7.0).
Lambert should return to the starting line-up after scoring off the bench against Chelsea within three minutes, and the 30-year-old is in prolific form with four goals in five.
With a haul of 10 for the season so far - and half of those goals being the first of the game - Lambert is good value to do so again at home to Everton.
|Both teams to score at 6/10 (1.60) with Coral
||Rickie Lambert to score first at 6/1 (7.0) with Coral
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Jamie Dickenson is a 22-year-old freelance journalist who specialises in football, sports and betting.
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