Both clubs have extremely talented managers in charge of their teams but each could take a very different approach when it comes to the future security of their top men.
Liverpool endured a terrible start to last season but they resisted every urge and every call to axe Brendan Rodgers who has since created possibly the best group of young attacking players in the Premier League.
He’s undoubtedly under more pressure than Martinez at Everton because Liverpool will now want some results from the coming season, as justification for the faith they showed in him when everyone was calling for his head.
Everton’s attitude is a little difficult to gauge at the moment due to the departure of David Moyes who looked as though he was set to stay at Everton for a Sir Alex Ferguson period of time.
What Martinez promises is a slightly better brand of football so gradually the attitude of the club should become more optimistic and positive in relation to what Everton can achieve and maintain.
The expectation of Liverpool fans is simply that they want the club to compete against all of the big teams in England and every side they come up against in Europe.
Liverpool played some of the best football in England last season and they will have very similar expectations to the club, they will want to see a little bit of progression in terms of league position and possible domestic silverware.
All Everton fans will want is maintenance of what Moyes left behind last season and maybe a different brand of football to watch.
Everton finished sixth, significantly above Liverpool, which is the bare minimum that Toffees’ fans will now expect from their club and Martinez will have to adjust to that level of pressure quickly.
Both clubs are under pressure to perform when they meet each other but also the likes of Manchester United, Manchester City, Arsenal, Chelsea, Spurs and any other decent side they face.
Liverpool produced some very good performances against the big teams over the second half of last season but they need more points from the bigger matches if they are going to make it into the top four.
In terms of silverware the expectations are going to be lower but Rodgers will definitely be under more pressure to put a trophy in the Liverpool cabinet.
Liverpool fans seemed to accept that last season was going to see them have a lower than average league position while Rodgers built his side and re-structured various aspects of the club.
Martinez now has that FA Cup win with Wigan to live up to where they completely outplayed Manchester City in the final at Wembley but their priority will be retaining that edge over Liverpool.
Everton’s longevity with Moyes suggests Martinez is more than likely safe even if the club have a dodgy season but the trigger finger is going to get awful twitchy at Liverpool if Rodgers can’t ensure his side makes progressive improvements for the second season running.
Do you agree Rodgers is more likely to be sacked first?
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