The Reds are sitting eight points clear of defending champions Manchester City in the Premier League table.
Liverpool FC were 2-1 winners against Leicester City at Anfield last weekend thanks to goals from Sadio Mane and James Milner.
Manchester City, on the other hand, suffered a surprise 2-0 loss to Wolverhampton Wanderers at The Etihad.
The Citizens are eight points adrift of Liverpool FC after losing to Norwich City and drawing with Tottenham Hotspur earlier this season.
Manchester City have won the Premier League title in the last two campaigns but Pep Guardiola’s side have struggled since Aymeric Laporte’s injury.
Liverpool FC will take on Manchester United in their next league fixture at Old Trafford before the Reds welcome Manchester City to Anfield on November 10.
Former Newcastle striker Shearer explained why he thinks Manchester City will find it difficult to reel in Liverpool FC in the Premier League title race this term.
“What made things worse for City this weekend was that Liverpool kept on winning while they dropped more points – Saturday’s 2-1 victory over Leicester was the Reds 17th in a row in the league, a run stretching back to 10 March,” Shearer told BBC Sport.
“By maintaining their level from last season, Liverpool have said “we are still here” to the defending champions, and to everyone else too.
“They fell just short last season, which will still be hurting them now. They might not go away this time.
“Liverpool only lost one league game in 2018-19, so we know how hard they are to beat.
“They have shown that same resolve to win games in the past few weeks when they have not been at their best.
“Like City, they have had to deal with losing a key player to injury too.
“It was a big blow when Brazil goalkeeper Alisson tore his calf muscle in the opening Premier League game of the season but they have still taken maximum points without him.
“The Reds have been here before, of course, and they did not exactly thrive when they were frontrunners last season.
“That experience will help them. But the real difference now is that, for the first time, they have a proper cushion at the top.
“Last season, the biggest lead they had over City when both sides had played the same number of games was seven points, and even that only lasted for four days at the turn of the year.”
Shearer added: “From then on, they were under almost constant pressure in one of the tightest title races I can remember – but with the way the table looks now, the Liverpool players won’t be feeling the same way.
“Of course, they still have to handle being top, but they go into the international break with the biggest lead any Premier League team have had after eight games, and they fully deserve it.”
Liverpool FC finished in second place in the Premier League title race last term and a point adrift of champions Manchester City.
The Reds managed to win their first major trophy under Jurgen Klopp when Liverpool FC were 2-0 winners against Spurs in the Champions League final.
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