Farrell announced he would miss the 2024 Six Nations to “prioritise his and his family’s mental wellbeing”.
And Sinckler, who has 68 caps, has called for more support from the game’s authorities to help players cope with the pressures of playing for England.
“If I’m being honest it’s only the beginning,” he told BBC 5 live.
“If you look at the workload the players go through, especially the international players… Guys have been in [World Cup] camp for five months, get a week’s rest, and then come back in and are playing week-in and week-out.
“I wouldn’t be surprised to be honest [if more players did the same].”
While Sinckler says playing for your country “is a privilege”, he believes steps can be taken to avoid situations like that of Farrell, who is England’s record points-scorer, in the future.
“The support system could 100% [be better], from all over,” Sinckler added.
“Definitely it is a privilege to play for your country and it comes with a lot of responsibility, but I think the support system around that could be a lot better.
“At the end of the day, as a player you kind of have to take the rough with the smooth.
“The same people that will be saying to you one minute that you are not doing so well, are the same people when it is going well who are singing your praises. So it comes part and parcel with the job.
“The main thing is having the support system in place because only the players who have been through it, and who are in it, actually understand the pressure that goes with performing week-in week-out.
“Not just in the games, but in training, and the pressure to get your body right and to get your mind right.
“Because at the end of the day, the boys care. Boys want to do the best for their country. No-one wants to go out there on the field and wants to make a mistake or have a bad performance.
“I don’t think it has anything to do with the fans, I just think the support for the players, in general, if I am being blunt and brutally honest, could be a lot better.”