The Daily Mail are reporting that tensions between Jenkins and Laudrup had been building up since the summer, after they clashed over transfers. They also report that Jenkins didn't approve of Laudrup's laid-back management style.
The Sun claim that players had complained that the training regime was not intense enough for a club in the Premier League and they had voiced concerns over his management style.
The Mirror also claim that a lack of discipline was the reason Laudrup left the club.
The Telegraph suggest that the club lost patience with Laudrup after he took a short break to Paris following Swansea's defeat to West Ham.
The Times go into detail on who could succeed Laudrup, claiming that Graeme Jones - the assistant manager to Roberto Martinez at Everton - is favourite to take over. They also suggest that former Chile and Atheltic Bilbao manager Marcelo Bielsa is in the mix.
The Independent, however, suggest that Swansea will give Garry Monk and first-team coach Alan Curtis time to turn the club's fortunes, pointing to the club's history of giving unproven managers an opportunity.