Leicester have won five out of their last six games to climb out of the relegation zone but they still sit just a point above 18th-placed Sunderland.
However, with two home matches to come against Southampton this weekend and then QPR, Albrighton believes survival is a distinct possibility such is the confidence in the Foxes' camp.
"The table looks a lot better than it did about a month ago," said Albrighton. "There is still work to be done and you don't want to speak too soon but it is going well so far.
"Southampton have proven they are a great footballing side and have done really well this year. It is going to be a difficult game for us but if we play anything like that and start like that then they are not going to enjoy coming here.
"Confidence is sky high and teams aren't going to want to be coming here. We proved against Swansea, Chelsea and now Newcastle that we start so fast we seem to catch teams off guard. It gives us a foothold in the game.
"The way we have started has let us play with freedom. It has been brilliant so far but we need to finish off the job."