The Leeds United manager has been linked with the chop.
The report goes on to claim that Cellino may wait until the end of the current campaign to part company with the former Rotherham United manager but that Evans' time could soon be up.
For now it remains just another rumour relating to a club that is never far from the spotlight, but if Cellino does sack Evans so soon it could lead to the Whites missing out on a player who could have a significant role in a play-off push next season.
Sunderland midfielder Liam Bridcutt has excelled since arriving at Elland Road on loan, featuring 22 times to date and performing brilliantly more often than not.
With a Sunderland stay looking unlikely Leeds are surely in with as good a shout as any when it comes to signing the Scotland international on a permanent basis, but that could change if Evans is replaced.
After all, a new manager will want his own players and as well as Bridcutt has done this season he may be overlooked in favour of those already owned by the club.
Then there is the fact that Evans has shown faith in the 26-year-old, making him his undisputed first-choice in the centre of the park, so how will Bridcutt respond if the Leeds boss departs?
The midfielder has a big decision to make this summer and he is unlikely to opt for a side where uncertainty reigns, where a manager is not guaranteed his job from one season to the next, and where building a side capable of earning promotion is so much harder with the constant changes in the dug-out.