London - Liverpool midfielder James Milner called for calm and backs Rodgers before the match against Sion at Anfield on Thursday.
Liverpool are struggling with just two wins in five games this month, a poor run that has increased pressure on manager Brendan Rodgers.
"A lot of things that have been said are disappointing and frustrating really because you see how close they went to winning the league a couple of years ago and then with the players that have left the club it is going to take time to get back to that point," Milner said.
"But with patience he has shown he is a top-class manager and with the players we have we can get to where we want to be."
English woes in the Champions League only worsened on Tuesday when Jose Mourinho's Chelsea lost 2-1 at FC Porto, the team where the Portuguese manager made his mark by winning Europe's most coveted title in 2004.
London-rival Arsenal fared even worse, falling 3-2 at home to Olympiakos, for a second straight loss that left it bottom of its qualifying group.
Manchester clubs United and City both play on Wednesday night looking to bounce back from losses in their Champions League openers.
That means in six combined Champions League matches English teams have managed one sole win, a 4-0 rout Chelsea dealt minnow Maccabi Tel-Aviv on matchday one.