And Bautista Agut believes the 12-time Grand Slam champion proved he's on his way back to the very top of the sport he dominated for so long.
Djokovic still had a moody expression when he returned to court for the third set - but that release of anger eventually seemed to work in his favour.
Djokovic, seeded 20th as he continues his return from an elbow injury, was visibly angry in the second set, which he lost on a tie-break. He lives to fight on in his pursuit of the form that once put him out of sight of his rivals.
"Me and my brother (Mischa) are guys that spend three, four hours a day in the gym, lifting heavy weights, on the treadmill". "It was a big point".
"That's when you have to deal with this kind of emotions and understand how you can get better, how you balance everything that is happening inside so you can come out the next challenge and learn from it and be better".
'That's the thing I've been doing since a lot of years.
It looked nasty, but after the initial shock the stricken ballboy was helped up by the player and umpire and able to continue his duties.
The former world number one has now made the last 16 of a Grand Slam for the 43rd time, tying with Jimmy Connors on the all-time list.
However, Dzumhur would not go away and earned his own break to level 4-4 and then had a match point after edging ahead.
An investigation said it had found evidence that Cecchinato, and fellow player Riccardo Accardi, placed a bet on him to lose a match - a claim Cecchinato denied throughout.
"Mainly I was thinking what I was going to have for lunch", he said.
"Sometimes you have to battle to get the win and that's what I did today".
Djokovic and Bautista Agut have met seven times so far over the course of their careers and it is Djokovic who has dominated the rivalry, winning six of those matches.
A big casualty was last week's victor of the Italian Open, world No 4 Elina Svitolina.
There was also a significant causalty in the women's draw, No 4 Ukranian Elina Svitolina beaten in straight sets by Mihaela Buzarnescu of Romania.