Dalglish praises Gerrard progress
Gerrard has not featured for Liverpool since March due to a groin injury which ultimately required surgery.
The Reds captain has been working hard on his fitness, and Dalglish is upbeat over his condition ahead of their opening fixture of the 2011-12 Premier League season against Sunderland.
Dalglish told the club's official website: "We start back Monday so we'll see how everybody is then. Everything that has been done has been very positive for Steven so we are just hoping for the best for him.
"He deserves a bit of luck on the injury front. We won't put him under any undue pressure. All we'll say everything has been fantastic so far."
Dalglish also confirmed Liverpool are actively seeking reinforcements, following the capture of Jordan Henderson from Sunderland, but refused to reveal specific targets.
"I wouldn't mention anyone as a target for us," he said. "We are obviously trying to bring people in and people are trying to take players from us.
"We are not going to speculate and be disrespectful and talk about other people at other clubs. Every manager I've seen interviewed on television has said exactly the same thing. That's the way it should be."