Liverpool boss Brendan Rodgers is privately furious over their failure to make any late signings last week.
Rodgers had said he needed reinforcements.
"Ultimately your principles are based on the players you have. You've got to have certain types of players to play that way," he said.
He let Adam and Carroll go on the understanding replacements would be signed, saying: "'If I had a choice on one or two matters then there might not have been change, but that sometimes gets taken out of your hands."