Less than a year ago the club was going through a tumultuous time with manager Rafael Benitez having left and the search for new owners still a few months away from completion.
Meanwhile in the transfer market players were allowed to leave but their replacements failed to shine.
But since Fenway Sports Group's buyout in October the future looks healthier and Dalglish has stressed the club will no longer settle for second-best when it comes to transfers.
"The people we'll be looking at are of the highest calibre, because the players here have done really well since January," said Dalglish.
"It would be disrespectful to them not for us not to be looking at a higher level.
"We've had a great end to the season. There will be lots of work done in the close season and we'll take it from there.
"Although it might affect them, players themselves expect new faces to come in and give the place a lift. It'll happen and they know it'll happen.
"If we get some quality people in to go along with the people already here that will help everyone - it always helps to freshen up the dressing room.
"But if we're bringing anyone in they've got to be better than what we've got - and that's going to be a big ask."