Jones was introduced during our 3-2 win at Blackburn on Tuesday after Alexandre Doni's dismissal. It was his first Barclays Premier League outing for the club.
Dalglish reflected: "He'll be happy he got a few minutes under his belt at Blackburn. He'll be excited, as everyone else is, about playing.
"It's credit to Doni that he kept himself fit and active and sharp, and Brad's the same.
"We're not here to delve into the players' personal lives but what's happened to Brad would have tested most people.
"He's come through it a really strong character.
"You can only guess what it must be like to go through what he's been through, but he has done and I'm sure he enjoyed his first bit of action on Tuesday night, saving a penalty.
"We know that to do what he's done has shown a great deal of strength of character."