Days earlier against Turkey, Hassen lay flat on his back after a corner in the 49th-minute, allowing his team-mates to leave the pitch for food and water. He stayed down for around a minute.
That match also finished 2-2.
Tunisian sports reporters were the first to point out that Hassen's injuries both coincided with sunset, which is when Iftar - or the breaking of the fast - begins.
Freelance reporter Souhail Khmira tweeted that there is 'an agreement' between the players and their goalkeeper to break their fast in this way.
It does not appear that Turkey, another mostly Muslim nation, had any such arrangement in place when they played Tunisia.
Hassen has since been teased on Twitter, including by fellow footballer Chaker Alhadhur, who joked: 'It's all right now, we know you were pretending.'
In response, Hassen tweeted 'I was injured bruv' alongside laughing emojis.
Hassen was not punished during either game by the on-field officials, and is unlikely to face any subsequent punishment because proving the injury was not genuine is virtually impossible.
The Tunisian football federation has yet to comment on the timing of the two injury breaks.
Hundreds of millions of Muslims around the world are observing Ramadan at the moment. It is a month of self-discipline where Muslims refrain from eating, drinking, smoking and having sex from sunrise to sunset.
The Quran demands that 'whosoever of you is present, let him fast the month' but makes exceptions, adding: 'Whosoever of you is sick or on a journey, a number of other days.'
However, some sportsman choose to interpret the rules more loosely. For example, it is understood that in the recent test series against England, Pakistan's cricketers did not fast on match days.
Ajmal Masroor, a London-based Imam and member of the Muslim Council of Britain, said in 2011 that the wording of the Quran would allow for someone taking part in a special event to eat during Ramadan and fast at another time.