The Blues have more or less strolled their way to the Premier League trophy this term due to the lack of a real rival, aside from a glimmer of a challenge from Tottenham that proved to be too little too late.
Both United and City have been disappointing despite high-profile managerial appointments of their own in Jose Mourinho and Pep Guardiola, and Neville believes they will be a different prospect in 2017/18.
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While Antonio Conte has had things mostly his own way in his first season, he will also have to contend with extra games in the Champions League next season as Neville outlined Chelsea’s four biggest challenges for his second campaign in charge.
Along with the extra physical and mental challenge, the need to rotate more and the potential loss of Diego Costa, Neville tipped the Manchester clubs, with their financial resources to be back to their best.
‘He is going to have two Manchester clubs who are going to be throwing £300m to £400m at it between them, who are hurting and who are under significant pressure next season to deliver,’ the former England defender told Sky Sports.
Chelsea remaining fixtures
Sunderland (H) – Sun 21 May
Arsenal FA Cup (N) – Sat 27 May
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‘And if they don’t deliver there’s going to be a big problem. So there are four big problems there for Antonio Conte and I’m sure he’s thinking about them already.’