Carroll is confident the squad now assembled by manager Kenny Dalglish after some significant summer spending is well-equipped to cope with such issues.
"It was tough not having Stevie or Carra in the squad," said the 22-year-old England international.
"They are great players and we need them in the team once they've got over their little niggles.
"But we have fantastic players that can come in. The game showed we've got lads who can step in when needed and do a job.
"We showed what we can do. We passed it around well and deserved the three points."