Jamie Carragher says fans will feel they are "not being trusted" if Liverpool have to complete their season away from Anfield.
The Reds are just six points away from a first league title in 30 years and will have a chance to continue their charge when the Premier League returns on June 17.
Liverpool's first game is the Merseyside derby against Everton, although there is some speculation over where the game will be played, with a report on Thursday claiming London derbies and matches involving the Reds could be staged at neutral stadia.
It has been reported that police have concerns about supporters turning up to a closed-off Anfield to celebrate any impending title triumph, breaking the social-distancing and lockdown rules imposed by the government back in March.
And Carragher thinks supporters will feel such measures will lead to Reds fans thinking they are not trusted by the football authorities, given that other clubs may be permitted to play at their traditional home grounds.
"Listen this idea [of neutral venues] come up a few weeks ago and I think it was about teams at the bottom, rather than the top six, but it's maybe a safety issue with the government and the police and I think you have to accept that," Carragher told Sky Sports.
"Some fans may find it difficult that they are maybe not being trusted more than other supporters at other clubs if their games are at home.
"But I think Liverpool fans right now will maybe more pleased that the season is going to be finished and Liverpool can officially win the league rather than having Gary's (Neville) asterisk.
"It's not just Liverpool and the games where they win the league, I think it is maybe other derby games and the [teams around] relegation areas, so I don't think it will be just Liverpool who are affected by that."
The legendary former Reds centre-back says he would not be concerned about the prospect of Liverpool returning to action at neutral venues, given the fact that the remaining 92 games of the 2019/20 season will be concluded behind closed doors.
He added: "To be honest, I am not too worried about that anyway. There is no-one in the ground so it is not like supporters have to travel to a neutral ground or anything like that.
"If that is what the government, the Premier League or the police think is the safest way, then that has always been the most important thing.
"Player and fan safety or whether people congregate around the stadium, that is the most important thing."
Carragher, who played 737 times for the Reds across a glittering career, believes Jurgen Klopp could use the final games of the season to gear his players up for next term, once the league title has been confirmed.
"Liverpool have won the league," Carragher said. "Gary joked about them losing every game and I actually believe if they lost every game it'd still be won because Man City have got to win every game and that is not easy.
"I think Jordan Henderson has said a few times in interviews it is not won yet. Listen, at the end of the season, I think the players might come out and say 'I think we had a great chance around Christmas time'.
"They just know they can't say it publicly because there's nothing worse than saying it. You think about how cocksure or confident boxers are but in football, you're always told never to take anything for granted.
"But I mean the position Liverpool are in it's just a case of what game it is going happen in. I think fans may be a little excited that it could be [won] against Everton.
"But it certainly won't be portrayed the way it would have been a few months ago, winning it in front of the crowd and you're rubbing it into your neighbours' faces.
"It [might not] even be at either ground, for Liverpool players now it is about getting it won as quickly as possibly.
"It's interesting one from a Liverpool point of view because if they do win the league in the first couple of games they are one of the few teams who nothing to play for, so it's a case of how Jurgen Klopp approaches it.
"Will he use it as a preparation for next season to use his squad? There won't be as much of a break. That will be interesting."