Dalglish is hopeful fate will shine more favourably on his charges in 2012 - starting at Manchester City on Tuesday night.
He told his pre-match press conference: "As I've said many times before, I don't think the players have had their reward for the performances they deserve.
"Maybe January 3 is going to be the game we get the little bit we deserve for the great play, effort and commitment the players have put in. We'll keep our fingers crossed.
"To get 2011 out of the way was good for us because I don't think we've had too much luck in the matches we've played in the first part of the season."