The Northern Irishman has added six players to his squad over the summer, while selling star striker Luis Suarez to Barcelona for £75million and loaning out the likes of Luis Alberto and Divock Origi.
And Rodgers suggested the Reds are looking to add depth ahead of a season which will include European football after he guided the club to a second-place finish last term, with the signings of Alberto Moreno and Javier Manquillo imminent.
|10/1||Liverpool are 10/1 with Bet365 to win the Premier League next season|
"We won't have too much more business to be done but we still have a few areas we want to strengthen," he told reporters on Friday.
"It's just purely on the back of us having a really thin squad last season where we were very, very short.
"The players did remarkably well and it was incredible what they achieved but they need help this year - they need assistance.
"We've got the belief this year we can go on and do well in all of the competitions. Especially after the Christmas period on the back end of a World Cup year, we need to make sure we have freshness in every game we play because of the nature of our game.
"There are still one or two areas to look at. There's no point mentioning numbers or positions - we want a couple of positions strengthened and if we can do that, I'll be really, really happy."
Rodgers' men face Milan in Charlotte on Saturday as they look to seal a place in the International Champions Cup final and he expects to name a strong line-up.
"They're all big names - they're not at Liverpool for nothing. You have to be a big personality and a big player to play for Liverpool. It'll be big names playing," Rodgers said.
"We will be strong and that will hopefully be the case throughout every game we play this season."