"We're in a position where we've got 25 games minimum between now and January so we're going to be stretched to the limit," said Rodgers.
"I've spoken to the players and if they get little niggles they have to man up. We have to all come together and be strong.
"What I've got here is a platform of hard work and integrity in this group. They have been fantastic in their work. January is always a difficult month [to buy] however you are doing but it's something we have to look at."
Rodgers will continue his search for a first league win in charge of Liverpool when they travel to Sunderland next Saturday.