He specifically named Paul Konchesky and Christian Poulsen - both much-maligned signings of his predecessor Roy Hodgson - as the ones who have suffered the most.
Konchesky has not played once in Dalglish's three matches in charge since taking over a little more than a week ago and was an unused substitute for Sunday's 2-2 draw in the 215th Merseyside derby against Everton at Anfield.
Poulsen made only his first Barclays Premier League appearance in two months in Wednesday's defeat at Blackpool and was omitted from the squad on Sunday as 22-year-old Jay Spearing made a surprise start in central midfield following two months out with a broken ankle.
Dalglish insists he has not written off their chances but prospects look limited for the pair.
"We've got a couple of senior players who the supporters haven't exactly seen eye to eye with," said Dalglish. "We've got to try to rebuild them. If we can get Christian Poulsen and Paul Konchesky back on side then that makes the squad that bit deeper. Christian played very well at Blackpool and Paul will get an opportunity as well."
Source: PA