Maybe if Thiago and Alex Oxlade-Chamberlain weren't injured it still seems like Liverpool will be fine, but because they are still injured Liverpool certainly still need new players. While the transfer window is still open, it is still very likely that Liverpool will get new players at the end of the transfer window, because to prepare a team that is at least safer to compete this season they need second-tier players who also have good quality. Because after all, if Liverpool don't get new players then it seems difficult for Liverpool to be able to compete in the title race, at least that has been reflected in the poor results at the beginning of the season.
Yeah Liverpool are now kinda relying on some players to score while rest are good in retaining the ball or while in defense. Thiago was their main man in mid linking up the players but without him mid seems to be kinda broken. Liverpool has lost quite some crucial players to injuries and it will take time for Liverpool to be back. I think they need to sign a midfield player still since they actually need one, doesn't have to exact right one they need but just the one that keeps the things patched up just in a case like this.