Pundit and former England international Danny Mills has told BBC Radio Five Live that he could see Rafael Benitez and Roberto Martinez switching roles this summer.
Wednesday night's 3-0 defeat away at Sunderland was enough for the Everton board, and they chose to remove the Spaniard before the final game of the season against Norwich City, bringing Martinez's three-year reign at Goodison Park to an end.
Meanwhile, Sunderland's win over the Toffees means that Newcastle have been relegated to the Championship, bringing the future of their manager Benitez into question.
Another Spaniard, Benitez had been brought in as Steve McClaren's replacement back in March, and having left Real Madrid in January, he arrived as Newcastle's saviour in their bid to beat the drop.
Despite some strong displays under Benitez, it was a 0-0 draw against Aston Villa last weekend which ultimately ended Newcastle's hopes of survival, and the consensus is that Benitez - who won the Champions League with Liverpool back in 2005 - wasn't given enough time to save the Magpies.
To go from Real Madrid to the Championship inside six months would be a huge step down for Benitez, and many expect him to leave Newcastle this summer due to a break clause in his contract, where he can end his contract upon relegation.
Now though, pundit Danny Mills has told BBC Radio Five Live that he could see Benitez heading to Everton - despite his links to rivals Liverpool - and Martinez replacing him at Newcastle, effectively completing a managerial swap between the two clubs.
"He's got experience, I can't see him staying at Newcastle," said Mills of Benitez. "It doesn't matter [that he managed Liverpool], he went to Chelsea. He lives there [Merseyside]. His family is there and he'd be happy going back. Rafa Benitez goes to Everton, Roberto Martinez goes to Newcastle. That's not beyond the realms of possibility," he added.
Do you think Benitez and Martinez could switch roles this summer?